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Finding the Fourth Proportional to 2,491, 3,736.62 and 759.88

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Solution

The fourth proportional to 2,491, 3,736.62 and 759.88 is: 1,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491 : 3,736.62 = 759.88 : x
  2. Step 2: Convert to fraction form
    2,491/3,736.62 = 759.88/x
  3. Step 3: Cross multiply
    2,491x = 3,736.62 × 759.88
  4. Step 4: Simplify right side
    2,491x = 2,839,382.81
  5. Step 5: Solve for x
    x = 2,839,382.81/2,491
  6. Step 6: Final answer
    x = 1,139.86

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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.