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Finding the Fourth Proportional to 10,354.43, 15,502.79 and 8,859.75

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Solution

The fourth proportional to 10,354.43, 15,502.79 and 8,859.75 is: 13,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.43 : 15,502.79 = 8,859.75 : x
  2. Step 2: Convert to fraction form
    10,354.43/15,502.79 = 8,859.75/x
  3. Step 3: Cross multiply
    10,354.43x = 15,502.79 × 8,859.75
  4. Step 4: Simplify right side
    10,354.43x = 137,350,807.72
  5. Step 5: Solve for x
    x = 137,350,807.72/10,354.43
  6. Step 6: Final answer
    x = 13,264.93

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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.