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Finding the Fourth Proportional to 20,082.92, 30,104.54 and 8,404.20

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Solution

The fourth proportional to 20,082.92, 30,104.54 and 8,404.20 is: 12,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.92 : 30,104.54 = 8,404.20 : x
  2. Step 2: Convert to fraction form
    20,082.92/30,104.54 = 8,404.20/x
  3. Step 3: Cross multiply
    20,082.92x = 30,104.54 × 8,404.20
  4. Step 4: Simplify right side
    20,082.92x = 253,004,575.07
  5. Step 5: Solve for x
    x = 253,004,575.07/20,082.92
  6. Step 6: Final answer
    x = 12,598.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.