Ratio & Proportion Solver
Solve unknown proportion values (A : B = C : D), simplify aspect ratios, and scale image dimensions.
Proportion Solver (A : B = C : X)
Leave any one field blank or marked 'X' to solve for it.
X = (6 × 10) ÷ 4 = 15
Aspect Ratio & Simplifier
Standard Widescreen (1.78:1)
Complete Guide to Ratios, Proportions & Digital Screen Aspect Ratios
A ratio compares two quantities quantitatively, while a proportion is an equation stating that two ratios are strictly equivalent (A : B = C : D). Proportional reasoning is ubiquitous in video production resolution scaling, architecture blueprint drafting, chemical compounding recipes, and financial equity allocations.
The Fundamental Proportion Theorem
In any true proportion, the product of the extremes equals the product of the means:
Equation: A / B = C / D ⟺ A · D = B · C
Solve for D: D = (B · C) / A
Solve for C: C = (A · D) / B
Part to Whole: Part Fraction = A / (A + B)
Aspect Ratio & Pixel Density
Aspect ratio describes the proportional relationship between display width and height:
- • Aspect Ratio = Width / GCD(W, H) : Height / GCD(W, H)
- • Decimal Multiplier = Width ÷ Height
- • 1920 × 1080: GCD = 120 → 16:9 (1.78:1)
- • 2560 × 1080: GCD = 40 → 64:27 (21:9 Ultrawide)
Standard Video Resolution & Aspect Ratio Standards
| Standard Name | Pixel Dimensions | Aspect Ratio | Primary Platform / Use Case |
|---|---|---|---|
| 4K UHD | 3840 × 2160 | 16:9 (Widescreen) | Television, YouTube 4K Streaming |
| Full HD (1080p) | 1920 × 1080 | 16:9 (Widescreen) | Laptops, Gaming Monitors, Web Video |
| Vertical Mobile / Shorts | 1080 × 1920 | 9:16 (Portrait) | Instagram Reels, TikTok, YouTube Shorts |
| Square Feed | 1080 × 1080 | 1:1 (Square) | Instagram Post, Product Mockups |
| Cinema Anamorphic | 3840 × 1600 | 2.39:1 (21:9) | Theatrical Movies, Ultrawide Monitors |
Frequently Asked Questions (FAQ)
How do I split an amount into a specific ratio (e.g., ₹10,000 in a 3:2 ratio)?
First add the ratio parts (3 + 2 = 5 total parts). Divide the total amount by 5 (₹10,000 ÷ 5 = ₹2,000 per part). Person A receives 3 × ₹2,000 = ₹6,000 and Person B receives 2 × ₹2,000 = ₹4,000.
What happens when video with a 4:3 aspect ratio is played on a 16:9 screen?
The player applies pillarboxing (vertical black bars on the left and right sides) to preserve the original geometry without stretching or distorting characters.
What is the Golden Ratio (Phi)?
The Golden Ratio is an irrational mathematical constant approximately equal to 1.6180339887... (1 : 1.618), frequently used in classical art, typography hierarchy, and UI design compositions.