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Finding the Fourth Proportional to 7,540.72, 10,408.92 and 6,141.04

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Solution

The fourth proportional to 7,540.72, 10,408.92 and 6,141.04 is: 8,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.72 : 10,408.92 = 6,141.04 : x
  2. Step 2: Convert to fraction form
    7,540.72/10,408.92 = 6,141.04/x
  3. Step 3: Cross multiply
    7,540.72x = 10,408.92 × 6,141.04
  4. Step 4: Simplify right side
    7,540.72x = 63,921,594.08
  5. Step 5: Solve for x
    x = 63,921,594.08/7,540.72
  6. Step 6: Final answer
    x = 8,476.86

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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.