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Finding the Fourth Proportional to 10,438.65, 15,662.48 and 6,929.91

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Solution

The fourth proportional to 10,438.65, 15,662.48 and 6,929.91 is: 10,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.65 : 15,662.48 = 6,929.91 : x
  2. Step 2: Convert to fraction form
    10,438.65/15,662.48 = 6,929.91/x
  3. Step 3: Cross multiply
    10,438.65x = 15,662.48 × 6,929.91
  4. Step 4: Simplify right side
    10,438.65x = 108,539,542.13
  5. Step 5: Solve for x
    x = 108,539,542.13/10,438.65
  6. Step 6: Final answer
    x = 10,397.85

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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.