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Finding the Fourth Proportional to 7,241.78, 10,862.91 and 2,497.91

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Solution

The fourth proportional to 7,241.78, 10,862.91 and 2,497.91 is: 3,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.78 : 10,862.91 = 2,497.91 : x
  2. Step 2: Convert to fraction form
    7,241.78/10,862.91 = 2,497.91/x
  3. Step 3: Cross multiply
    7,241.78x = 10,862.91 × 2,497.91
  4. Step 4: Simplify right side
    7,241.78x = 27,134,517.20
  5. Step 5: Solve for x
    x = 27,134,517.20/7,241.78
  6. Step 6: Final answer
    x = 3,746.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.