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Finding the Fourth Proportional to 13,841.80, 20,765.88 and 3,981.16

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Solution

The fourth proportional to 13,841.80, 20,765.88 and 3,981.16 is: 5,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.80 : 20,765.88 = 3,981.16 : x
  2. Step 2: Convert to fraction form
    13,841.80/20,765.88 = 3,981.16/x
  3. Step 3: Cross multiply
    13,841.80x = 20,765.88 × 3,981.16
  4. Step 4: Simplify right side
    13,841.80x = 82,672,290.82
  5. Step 5: Solve for x
    x = 82,672,290.82/13,841.80
  6. Step 6: Final answer
    x = 5,972.65

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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.