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Finding the Fourth Proportional to 7,531.68, 10,394.13 and 4,174.89

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Solution

The fourth proportional to 7,531.68, 10,394.13 and 4,174.89 is: 5,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.68 : 10,394.13 = 4,174.89 : x
  2. Step 2: Convert to fraction form
    7,531.68/10,394.13 = 4,174.89/x
  3. Step 3: Cross multiply
    7,531.68x = 10,394.13 × 4,174.89
  4. Step 4: Simplify right side
    7,531.68x = 43,394,349.40
  5. Step 5: Solve for x
    x = 43,394,349.40/7,531.68
  6. Step 6: Final answer
    x = 5,761.58

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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.