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Finding the Fourth Proportional to 2,491.80, 3,737.80 and 1,257.74

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Solution

The fourth proportional to 2,491.80, 3,737.80 and 1,257.74 is: 1,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.80 : 3,737.80 = 1,257.74 : x
  2. Step 2: Convert to fraction form
    2,491.80/3,737.80 = 1,257.74/x
  3. Step 3: Cross multiply
    2,491.80x = 3,737.80 × 1,257.74
  4. Step 4: Simplify right side
    2,491.80x = 4,701,180.57
  5. Step 5: Solve for x
    x = 4,701,180.57/2,491.80
  6. Step 6: Final answer
    x = 1,886.66

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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.