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Finding the Fourth Proportional to 13,645.92, 20,472 and 4,761.60

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Solution

The fourth proportional to 13,645.92, 20,472 and 4,761.60 is: 7,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.92 : 20,472 = 4,761.60 : x
  2. Step 2: Convert to fraction form
    13,645.92/20,472 = 4,761.60/x
  3. Step 3: Cross multiply
    13,645.92x = 20,472 × 4,761.60
  4. Step 4: Simplify right side
    13,645.92x = 97,479,475.20
  5. Step 5: Solve for x
    x = 97,479,475.20/13,645.92
  6. Step 6: Final answer
    x = 7,143.49

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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.