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Finding the Fourth Proportional to 13,432, 18,536 and 7,463.54

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Solution

The fourth proportional to 13,432, 18,536 and 7,463.54 is: 10,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 18,536 = 7,463.54 : x
  2. Step 2: Convert to fraction form
    13,432/18,536 = 7,463.54/x
  3. Step 3: Cross multiply
    13,432x = 18,536 × 7,463.54
  4. Step 4: Simplify right side
    13,432x = 138,344,177.44
  5. Step 5: Solve for x
    x = 138,344,177.44/13,432
  6. Step 6: Final answer
    x = 10,299.60

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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.