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Finding the Fourth Proportional to 2,461.28, 3,691.88 and 729.76

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Solution

The fourth proportional to 2,461.28, 3,691.88 and 729.76 is: 1,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.28 : 3,691.88 = 729.76 : x
  2. Step 2: Convert to fraction form
    2,461.28/3,691.88 = 729.76/x
  3. Step 3: Cross multiply
    2,461.28x = 3,691.88 × 729.76
  4. Step 4: Simplify right side
    2,461.28x = 2,694,186.35
  5. Step 5: Solve for x
    x = 2,694,186.35/2,461.28
  6. Step 6: Final answer
    x = 1,094.63

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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.