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Finding the Fourth Proportional to 8,882, 12,257.16 and 5,156

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Solution

The fourth proportional to 8,882, 12,257.16 and 5,156 is: 7,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882 : 12,257.16 = 5,156 : x
  2. Step 2: Convert to fraction form
    8,882/12,257.16 = 5,156/x
  3. Step 3: Cross multiply
    8,882x = 12,257.16 × 5,156
  4. Step 4: Simplify right side
    8,882x = 63,197,916.96
  5. Step 5: Solve for x
    x = 63,197,916.96/8,882
  6. Step 6: Final answer
    x = 7,115.28

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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.