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Finding the Fourth Proportional to 11,882, 16,397.16 and 6,916.88

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Solution

The fourth proportional to 11,882, 16,397.16 and 6,916.88 is: 9,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 16,397.16 = 6,916.88 : x
  2. Step 2: Convert to fraction form
    11,882/16,397.16 = 6,916.88/x
  3. Step 3: Cross multiply
    11,882x = 16,397.16 × 6,916.88
  4. Step 4: Simplify right side
    11,882x = 113,417,188.06
  5. Step 5: Solve for x
    x = 113,417,188.06/11,882
  6. Step 6: Final answer
    x = 9,545.29

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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.