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Finding the Fourth Proportional to 2,498.80, 3,747.12 and 767.04

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Solution

The fourth proportional to 2,498.80, 3,747.12 and 767.04 is: 1,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.80 : 3,747.12 = 767.04 : x
  2. Step 2: Convert to fraction form
    2,498.80/3,747.12 = 767.04/x
  3. Step 3: Cross multiply
    2,498.80x = 3,747.12 × 767.04
  4. Step 4: Simplify right side
    2,498.80x = 2,874,190.92
  5. Step 5: Solve for x
    x = 2,874,190.92/2,498.80
  6. Step 6: Final answer
    x = 1,150.23

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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.