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Finding the Fourth Proportional to 7,531.34, 10,393.64 and 4,174.56

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Solution

The fourth proportional to 7,531.34, 10,393.64 and 4,174.56 is: 5,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.34 : 10,393.64 = 4,174.56 : x
  2. Step 2: Convert to fraction form
    7,531.34/10,393.64 = 4,174.56/x
  3. Step 3: Cross multiply
    7,531.34x = 10,393.64 × 4,174.56
  4. Step 4: Simplify right side
    7,531.34x = 43,388,873.80
  5. Step 5: Solve for x
    x = 43,388,873.80/7,531.34
  6. Step 6: Final answer
    x = 5,761.11

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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.