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Finding the Fourth Proportional to 10,902.38, 16,359.47 and 8,442

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Solution

The fourth proportional to 10,902.38, 16,359.47 and 8,442 is: 12,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.38 : 16,359.47 = 8,442 : x
  2. Step 2: Convert to fraction form
    10,902.38/16,359.47 = 8,442/x
  3. Step 3: Cross multiply
    10,902.38x = 16,359.47 × 8,442
  4. Step 4: Simplify right side
    10,902.38x = 138,106,635.19
  5. Step 5: Solve for x
    x = 138,106,635.19/10,902.38
  6. Step 6: Final answer
    x = 12,667.57

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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.