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Finding the Fourth Proportional to 2,494.78, 3,742.17 and 1,947.42

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Solution

The fourth proportional to 2,494.78, 3,742.17 and 1,947.42 is: 2,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.78 : 3,742.17 = 1,947.42 : x
  2. Step 2: Convert to fraction form
    2,494.78/3,742.17 = 1,947.42/x
  3. Step 3: Cross multiply
    2,494.78x = 3,742.17 × 1,947.42
  4. Step 4: Simplify right side
    2,494.78x = 7,287,576.70
  5. Step 5: Solve for x
    x = 7,287,576.70/2,494.78
  6. Step 6: Final answer
    x = 2,921.13

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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.