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Finding the Fourth Proportional to 7,431, 11,142.18 and 2,497.92

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Solution

The fourth proportional to 7,431, 11,142.18 and 2,497.92 is: 3,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431 : 11,142.18 = 2,497.92 : x
  2. Step 2: Convert to fraction form
    7,431/11,142.18 = 2,497.92/x
  3. Step 3: Cross multiply
    7,431x = 11,142.18 × 2,497.92
  4. Step 4: Simplify right side
    7,431x = 27,832,274.27
  5. Step 5: Solve for x
    x = 27,832,274.27/7,431
  6. Step 6: Final answer
    x = 3,745.43

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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.