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Finding the Fourth Proportional to 8,481.44, 12,715.68 and 5,708

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Solution

The fourth proportional to 8,481.44, 12,715.68 and 5,708 is: 8,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.44 : 12,715.68 = 5,708 : x
  2. Step 2: Convert to fraction form
    8,481.44/12,715.68 = 5,708/x
  3. Step 3: Cross multiply
    8,481.44x = 12,715.68 × 5,708
  4. Step 4: Simplify right side
    8,481.44x = 72,581,101.44
  5. Step 5: Solve for x
    x = 72,581,101.44/8,481.44
  6. Step 6: Final answer
    x = 8,557.64

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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.