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Finding the Fourth Proportional to 13,957.80, 20,932.98 and 6,560.88

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Solution

The fourth proportional to 13,957.80, 20,932.98 and 6,560.88 is: 9,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.80 : 20,932.98 = 6,560.88 : x
  2. Step 2: Convert to fraction form
    13,957.80/20,932.98 = 6,560.88/x
  3. Step 3: Cross multiply
    13,957.80x = 20,932.98 × 6,560.88
  4. Step 4: Simplify right side
    13,957.80x = 137,338,769.82
  5. Step 5: Solve for x
    x = 137,338,769.82/13,957.80
  6. Step 6: Final answer
    x = 9,839.57

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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.