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Finding the Fourth Proportional to 2,489.48, 3,729.90 and 1,253.96

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Solution

The fourth proportional to 2,489.48, 3,729.90 and 1,253.96 is: 1,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.48 : 3,729.90 = 1,253.96 : x
  2. Step 2: Convert to fraction form
    2,489.48/3,729.90 = 1,253.96/x
  3. Step 3: Cross multiply
    2,489.48x = 3,729.90 × 1,253.96
  4. Step 4: Simplify right side
    2,489.48x = 4,677,145.40
  5. Step 5: Solve for x
    x = 4,677,145.40/2,489.48
  6. Step 6: Final answer
    x = 1,878.76

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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.