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Finding the Fourth Proportional to 3,179.42, 4,769.13 and 987.92

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Solution

The fourth proportional to 3,179.42, 4,769.13 and 987.92 is: 1,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.42 : 4,769.13 = 987.92 : x
  2. Step 2: Convert to fraction form
    3,179.42/4,769.13 = 987.92/x
  3. Step 3: Cross multiply
    3,179.42x = 4,769.13 × 987.92
  4. Step 4: Simplify right side
    3,179.42x = 4,711,518.91
  5. Step 5: Solve for x
    x = 4,711,518.91/3,179.42
  6. Step 6: Final answer
    x = 1,481.88

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Similar ratio
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1.5x scale

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.