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Finding the Fourth Proportional to 20,565.99, 30,807.72 and 9,457.20

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Solution

The fourth proportional to 20,565.99, 30,807.72 and 9,457.20 is: 14,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.99 : 30,807.72 = 9,457.20 : x
  2. Step 2: Convert to fraction form
    20,565.99/30,807.72 = 9,457.20/x
  3. Step 3: Cross multiply
    20,565.99x = 30,807.72 × 9,457.20
  4. Step 4: Simplify right side
    20,565.99x = 291,354,769.58
  5. Step 5: Solve for x
    x = 291,354,769.58/20,565.99
  6. Step 6: Final answer
    x = 14,166.82

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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.