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Finding the Fourth Proportional to 10,545.47, 14,552.01 and 5,829.38

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Solution

The fourth proportional to 10,545.47, 14,552.01 and 5,829.38 is: 8,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.47 : 14,552.01 = 5,829.38 : x
  2. Step 2: Convert to fraction form
    10,545.47/14,552.01 = 5,829.38/x
  3. Step 3: Cross multiply
    10,545.47x = 14,552.01 × 5,829.38
  4. Step 4: Simplify right side
    10,545.47x = 84,829,123.29
  5. Step 5: Solve for x
    x = 84,829,123.29/10,545.47
  6. Step 6: Final answer
    x = 8,044.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.