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Finding the Fourth Proportional to 11,179.68, 16,768.98 and 3,781.68

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Solution

The fourth proportional to 11,179.68, 16,768.98 and 3,781.68 is: 5,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.68 : 16,768.98 = 3,781.68 : x
  2. Step 2: Convert to fraction form
    11,179.68/16,768.98 = 3,781.68/x
  3. Step 3: Cross multiply
    11,179.68x = 16,768.98 × 3,781.68
  4. Step 4: Simplify right side
    11,179.68x = 63,414,916.29
  5. Step 5: Solve for x
    x = 63,414,916.29/11,179.68
  6. Step 6: Final answer
    x = 5,672.34

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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.