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Finding the Fourth Proportional to 15,129.16, 22,655.98 and 9,565.72

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Solution

The fourth proportional to 15,129.16, 22,655.98 and 9,565.72 is: 14,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.16 : 22,655.98 = 9,565.72 : x
  2. Step 2: Convert to fraction form
    15,129.16/22,655.98 = 9,565.72/x
  3. Step 3: Cross multiply
    15,129.16x = 22,655.98 × 9,565.72
  4. Step 4: Simplify right side
    15,129.16x = 216,720,761.01
  5. Step 5: Solve for x
    x = 216,720,761.01/15,129.16
  6. Step 6: Final answer
    x = 14,324.71

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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.