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Finding the Fourth Proportional to 10,866.71, 14,996.12 and 6,390.65

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Solution

The fourth proportional to 10,866.71, 14,996.12 and 6,390.65 is: 8,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.71 : 14,996.12 = 6,390.65 : x
  2. Step 2: Convert to fraction form
    10,866.71/14,996.12 = 6,390.65/x
  3. Step 3: Cross multiply
    10,866.71x = 14,996.12 × 6,390.65
  4. Step 4: Simplify right side
    10,866.71x = 95,834,847.34
  5. Step 5: Solve for x
    x = 95,834,847.34/10,866.71
  6. Step 6: Final answer
    x = 8,819.13

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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.