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Finding the Fourth Proportional to 8,877, 12,251.88 and 5,151

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Solution

The fourth proportional to 8,877, 12,251.88 and 5,151 is: 7,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877 : 12,251.88 = 5,151 : x
  2. Step 2: Convert to fraction form
    8,877/12,251.88 = 5,151/x
  3. Step 3: Cross multiply
    8,877x = 12,251.88 × 5,151
  4. Step 4: Simplify right side
    8,877x = 63,109,433.88
  5. Step 5: Solve for x
    x = 63,109,433.88/8,877
  6. Step 6: Final answer
    x = 7,109.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.