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Finding the Fourth Proportional to 2,249.53, 3,372.36 and 932.47

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Solution

The fourth proportional to 2,249.53, 3,372.36 and 932.47 is: 1,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.53 : 3,372.36 = 932.47 : x
  2. Step 2: Convert to fraction form
    2,249.53/3,372.36 = 932.47/x
  3. Step 3: Cross multiply
    2,249.53x = 3,372.36 × 932.47
  4. Step 4: Simplify right side
    2,249.53x = 3,144,624.53
  5. Step 5: Solve for x
    x = 3,144,624.53/2,249.53
  6. Step 6: Final answer
    x = 1,397.90

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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.