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Finding the Fourth Proportional to 8,824.61, 13,232.71 and 5,127.90

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Solution

The fourth proportional to 8,824.61, 13,232.71 and 5,127.90 is: 7,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.61 : 13,232.71 = 5,127.90 : x
  2. Step 2: Convert to fraction form
    8,824.61/13,232.71 = 5,127.90/x
  3. Step 3: Cross multiply
    8,824.61x = 13,232.71 × 5,127.90
  4. Step 4: Simplify right side
    8,824.61x = 67,856,013.61
  5. Step 5: Solve for x
    x = 67,856,013.61/8,824.61
  6. Step 6: Final answer
    x = 7,689.41

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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.