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Finding the Fourth Proportional to 2,498, 3,747.02 and 766.76

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Solution

The fourth proportional to 2,498, 3,747.02 and 766.76 is: 1,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498 : 3,747.02 = 766.76 : x
  2. Step 2: Convert to fraction form
    2,498/3,747.02 = 766.76/x
  3. Step 3: Cross multiply
    2,498x = 3,747.02 × 766.76
  4. Step 4: Simplify right side
    2,498x = 2,873,065.06
  5. Step 5: Solve for x
    x = 2,873,065.06/2,498
  6. Step 6: Final answer
    x = 1,150.15

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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.