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Finding the Fourth Proportional to 5,654.38, 8,478.87 and 2,534.42

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Solution

The fourth proportional to 5,654.38, 8,478.87 and 2,534.42 is: 3,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.38 : 8,478.87 = 2,534.42 : x
  2. Step 2: Convert to fraction form
    5,654.38/8,478.87 = 2,534.42/x
  3. Step 3: Cross multiply
    5,654.38x = 8,478.87 × 2,534.42
  4. Step 4: Simplify right side
    5,654.38x = 21,489,017.71
  5. Step 5: Solve for x
    x = 21,489,017.71/5,654.38
  6. Step 6: Final answer
    x = 3,800.42

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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.