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Finding the Fourth Proportional to 2,488.97, 3,733.46 and 757.60

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Solution

The fourth proportional to 2,488.97, 3,733.46 and 757.60 is: 1,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.97 : 3,733.46 = 757.60 : x
  2. Step 2: Convert to fraction form
    2,488.97/3,733.46 = 757.60/x
  3. Step 3: Cross multiply
    2,488.97x = 3,733.46 × 757.60
  4. Step 4: Simplify right side
    2,488.97x = 2,828,456.17
  5. Step 5: Solve for x
    x = 2,828,456.17/2,488.97
  6. Step 6: Final answer
    x = 1,136.40

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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.