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Finding the Fourth Proportional to 5,531.76, 7,633.62 and 3,174.12

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Solution

The fourth proportional to 5,531.76, 7,633.62 and 3,174.12 is: 4,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.76 : 7,633.62 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    5,531.76/7,633.62 = 3,174.12/x
  3. Step 3: Cross multiply
    5,531.76x = 7,633.62 × 3,174.12
  4. Step 4: Simplify right side
    5,531.76x = 24,230,025.91
  5. Step 5: Solve for x
    x = 24,230,025.91/5,531.76
  6. Step 6: Final answer
    x = 4,380.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.