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Finding the Fourth Proportional to 13,531.92, 20,299.50 and 4,765.02

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Solution

The fourth proportional to 13,531.92, 20,299.50 and 4,765.02 is: 7,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.92 : 20,299.50 = 4,765.02 : x
  2. Step 2: Convert to fraction form
    13,531.92/20,299.50 = 4,765.02/x
  3. Step 3: Cross multiply
    13,531.92x = 20,299.50 × 4,765.02
  4. Step 4: Simplify right side
    13,531.92x = 96,727,523.49
  5. Step 5: Solve for x
    x = 96,727,523.49/13,531.92
  6. Step 6: Final answer
    x = 7,148.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.