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Finding the Fourth Proportional to 3,174.59, 4,761.89 and 1,531.31

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Solution

The fourth proportional to 3,174.59, 4,761.89 and 1,531.31 is: 2,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.59 : 4,761.89 = 1,531.31 : x
  2. Step 2: Convert to fraction form
    3,174.59/4,761.89 = 1,531.31/x
  3. Step 3: Cross multiply
    3,174.59x = 4,761.89 × 1,531.31
  4. Step 4: Simplify right side
    3,174.59x = 7,291,904.05
  5. Step 5: Solve for x
    x = 7,291,904.05/3,174.59
  6. Step 6: Final answer
    x = 2,296.96

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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.