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Finding the Fourth Proportional to 2,274.64, 3,138.87 and 1,279.87

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Solution

The fourth proportional to 2,274.64, 3,138.87 and 1,279.87 is: 1,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.64 : 3,138.87 = 1,279.87 : x
  2. Step 2: Convert to fraction form
    2,274.64/3,138.87 = 1,279.87/x
  3. Step 3: Cross multiply
    2,274.64x = 3,138.87 × 1,279.87
  4. Step 4: Simplify right side
    2,274.64x = 4,017,352.96
  5. Step 5: Solve for x
    x = 4,017,352.96/2,274.64
  6. Step 6: Final answer
    x = 1,766.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.