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Finding the Fourth Proportional to 11,212.38, 15,472.89 and 6,497.10

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Solution

The fourth proportional to 11,212.38, 15,472.89 and 6,497.10 is: 8,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.38 : 15,472.89 = 6,497.10 : x
  2. Step 2: Convert to fraction form
    11,212.38/15,472.89 = 6,497.10/x
  3. Step 3: Cross multiply
    11,212.38x = 15,472.89 × 6,497.10
  4. Step 4: Simplify right side
    11,212.38x = 100,528,913.62
  5. Step 5: Solve for x
    x = 100,528,913.62/11,212.38
  6. Step 6: Final answer
    x = 8,965.89

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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.