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Finding the Fourth Proportional to 5,227.32, 7,842.42 and 4,654.20

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Solution

The fourth proportional to 5,227.32, 7,842.42 and 4,654.20 is: 6,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.32 : 7,842.42 = 4,654.20 : x
  2. Step 2: Convert to fraction form
    5,227.32/7,842.42 = 4,654.20/x
  3. Step 3: Cross multiply
    5,227.32x = 7,842.42 × 4,654.20
  4. Step 4: Simplify right side
    5,227.32x = 36,500,191.16
  5. Step 5: Solve for x
    x = 36,500,191.16/5,227.32
  6. Step 6: Final answer
    x = 6,982.58

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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.