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Finding the Fourth Proportional to 2,732.82, 4,098.47 and 757.99

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Solution

The fourth proportional to 2,732.82, 4,098.47 and 757.99 is: 1,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.82 : 4,098.47 = 757.99 : x
  2. Step 2: Convert to fraction form
    2,732.82/4,098.47 = 757.99/x
  3. Step 3: Cross multiply
    2,732.82x = 4,098.47 × 757.99
  4. Step 4: Simplify right side
    2,732.82x = 3,106,600.61
  5. Step 5: Solve for x
    x = 3,106,600.61/2,732.82
  6. Step 6: Final answer
    x = 1,136.78

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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.