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Finding the Fourth Proportional to 7,531.30, 10,392.12 and 4,174.31

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Solution

The fourth proportional to 7,531.30, 10,392.12 and 4,174.31 is: 5,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.30 : 10,392.12 = 4,174.31 : x
  2. Step 2: Convert to fraction form
    7,531.30/10,392.12 = 4,174.31/x
  3. Step 3: Cross multiply
    7,531.30x = 10,392.12 × 4,174.31
  4. Step 4: Simplify right side
    7,531.30x = 43,379,938.93
  5. Step 5: Solve for x
    x = 43,379,938.93/7,531.30
  6. Step 6: Final answer
    x = 5,759.95

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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.