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Finding the Fourth Proportional to 2,461.25, 3,691.88 and 729.88

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Solution

The fourth proportional to 2,461.25, 3,691.88 and 729.88 is: 1,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.25 : 3,691.88 = 729.88 : x
  2. Step 2: Convert to fraction form
    2,461.25/3,691.88 = 729.88/x
  3. Step 3: Cross multiply
    2,461.25x = 3,691.88 × 729.88
  4. Step 4: Simplify right side
    2,461.25x = 2,694,607.27
  5. Step 5: Solve for x
    x = 2,694,607.27/2,461.25
  6. Step 6: Final answer
    x = 1,094.81

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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.