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Finding the Fourth Proportional to 2,712.74, 4,069.04 and 1,251.89

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Solution

The fourth proportional to 2,712.74, 4,069.04 and 1,251.89 is: 1,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.74 : 4,069.04 = 1,251.89 : x
  2. Step 2: Convert to fraction form
    2,712.74/4,069.04 = 1,251.89/x
  3. Step 3: Cross multiply
    2,712.74x = 4,069.04 × 1,251.89
  4. Step 4: Simplify right side
    2,712.74x = 5,093,989.70
  5. Step 5: Solve for x
    x = 5,093,989.70/2,712.74
  6. Step 6: Final answer
    x = 1,877.80

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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.