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Finding the Fourth Proportional to 10,475.38, 14,479.14 and 9,206.92

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Solution

The fourth proportional to 10,475.38, 14,479.14 and 9,206.92 is: 12,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.38 : 14,479.14 = 9,206.92 : x
  2. Step 2: Convert to fraction form
    10,475.38/14,479.14 = 9,206.92/x
  3. Step 3: Cross multiply
    10,475.38x = 14,479.14 × 9,206.92
  4. Step 4: Simplify right side
    10,475.38x = 133,308,283.65
  5. Step 5: Solve for x
    x = 133,308,283.65/10,475.38
  6. Step 6: Final answer
    x = 12,725.87

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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.