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Finding the Fourth Proportional to 2,491.84, 3,733.96 and 1,255.80

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Solution

The fourth proportional to 2,491.84, 3,733.96 and 1,255.80 is: 1,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.84 : 3,733.96 = 1,255.80 : x
  2. Step 2: Convert to fraction form
    2,491.84/3,733.96 = 1,255.80/x
  3. Step 3: Cross multiply
    2,491.84x = 3,733.96 × 1,255.80
  4. Step 4: Simplify right side
    2,491.84x = 4,689,106.97
  5. Step 5: Solve for x
    x = 4,689,106.97/2,491.84
  6. Step 6: Final answer
    x = 1,881.78

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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.