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Finding the Fourth Proportional to 10,612.92, 15,841.47 and 9,831

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Solution

The fourth proportional to 10,612.92, 15,841.47 and 9,831 is: 14,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.92 : 15,841.47 = 9,831 : x
  2. Step 2: Convert to fraction form
    10,612.92/15,841.47 = 9,831/x
  3. Step 3: Cross multiply
    10,612.92x = 15,841.47 × 9,831
  4. Step 4: Simplify right side
    10,612.92x = 155,737,491.57
  5. Step 5: Solve for x
    x = 155,737,491.57/10,612.92
  6. Step 6: Final answer
    x = 14,674.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.