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Finding the Fourth Proportional to 10,891.78, 16,337.61 and 3,966.28

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Solution

The fourth proportional to 10,891.78, 16,337.61 and 3,966.28 is: 5,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.78 : 16,337.61 = 3,966.28 : x
  2. Step 2: Convert to fraction form
    10,891.78/16,337.61 = 3,966.28/x
  3. Step 3: Cross multiply
    10,891.78x = 16,337.61 × 3,966.28
  4. Step 4: Simplify right side
    10,891.78x = 64,799,535.79
  5. Step 5: Solve for x
    x = 64,799,535.79/10,891.78
  6. Step 6: Final answer
    x = 5,949.40

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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.