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Finding the Fourth Proportional to 10,718.76, 16,078.02 and 3,791.64

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Solution

The fourth proportional to 10,718.76, 16,078.02 and 3,791.64 is: 5,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.76 : 16,078.02 = 3,791.64 : x
  2. Step 2: Convert to fraction form
    10,718.76/16,078.02 = 3,791.64/x
  3. Step 3: Cross multiply
    10,718.76x = 16,078.02 × 3,791.64
  4. Step 4: Simplify right side
    10,718.76x = 60,962,063.75
  5. Step 5: Solve for x
    x = 60,962,063.75/10,718.76
  6. Step 6: Final answer
    x = 5,687.42

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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.