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Finding the Fourth Proportional to 7,542.72, 10,408.32 and 5,546.88

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Solution

The fourth proportional to 7,542.72, 10,408.32 and 5,546.88 is: 7,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.72 : 10,408.32 = 5,546.88 : x
  2. Step 2: Convert to fraction form
    7,542.72/10,408.32 = 5,546.88/x
  3. Step 3: Cross multiply
    7,542.72x = 10,408.32 × 5,546.88
  4. Step 4: Simplify right side
    7,542.72x = 57,733,702.04
  5. Step 5: Solve for x
    x = 57,733,702.04/7,542.72
  6. Step 6: Final answer
    x = 7,654.23

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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.