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Finding the Fourth Proportional to 9,132.52, 13,690.48 and 3,287.80

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Solution

The fourth proportional to 9,132.52, 13,690.48 and 3,287.80 is: 4,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.52 : 13,690.48 = 3,287.80 : x
  2. Step 2: Convert to fraction form
    9,132.52/13,690.48 = 3,287.80/x
  3. Step 3: Cross multiply
    9,132.52x = 13,690.48 × 3,287.80
  4. Step 4: Simplify right side
    9,132.52x = 45,011,560.14
  5. Step 5: Solve for x
    x = 45,011,560.14/9,132.52
  6. Step 6: Final answer
    x = 4,928.71

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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.