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Finding the Fourth Proportional to 13,429.38, 18,532.12 and 7,460.88

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Solution

The fourth proportional to 13,429.38, 18,532.12 and 7,460.88 is: 10,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.38 : 18,532.12 = 7,460.88 : x
  2. Step 2: Convert to fraction form
    13,429.38/18,532.12 = 7,460.88/x
  3. Step 3: Cross multiply
    13,429.38x = 18,532.12 × 7,460.88
  4. Step 4: Simplify right side
    13,429.38x = 138,265,923.47
  5. Step 5: Solve for x
    x = 138,265,923.47/13,429.38
  6. Step 6: Final answer
    x = 10,295.78

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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.