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Finding the Fourth Proportional to 10,874.50, 15,006.09 and 6,397.38

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Solution

The fourth proportional to 10,874.50, 15,006.09 and 6,397.38 is: 8,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.50 : 15,006.09 = 6,397.38 : x
  2. Step 2: Convert to fraction form
    10,874.50/15,006.09 = 6,397.38/x
  3. Step 3: Cross multiply
    10,874.50x = 15,006.09 × 6,397.38
  4. Step 4: Simplify right side
    10,874.50x = 95,999,660.04
  5. Step 5: Solve for x
    x = 95,999,660.04/10,874.50
  6. Step 6: Final answer
    x = 8,827.96

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1.5x scale

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.