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Finding the Fourth Proportional to 2,731.70, 4,097.24 and 757.48

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Solution

The fourth proportional to 2,731.70, 4,097.24 and 757.48 is: 1,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.70 : 4,097.24 = 757.48 : x
  2. Step 2: Convert to fraction form
    2,731.70/4,097.24 = 757.48/x
  3. Step 3: Cross multiply
    2,731.70x = 4,097.24 × 757.48
  4. Step 4: Simplify right side
    2,731.70x = 3,103,553.08
  5. Step 5: Solve for x
    x = 3,103,553.08/2,731.70
  6. Step 6: Final answer
    x = 1,136.13

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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.