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Finding the Fourth Proportional to 2,274.73, 3,138.73 and 1,279.93

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Solution

The fourth proportional to 2,274.73, 3,138.73 and 1,279.93 is: 1,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.73 : 3,138.73 = 1,279.93 : x
  2. Step 2: Convert to fraction form
    2,274.73/3,138.73 = 1,279.93/x
  3. Step 3: Cross multiply
    2,274.73x = 3,138.73 × 1,279.93
  4. Step 4: Simplify right side
    2,274.73x = 4,017,354.69
  5. Step 5: Solve for x
    x = 4,017,354.69/2,274.73
  6. Step 6: Final answer
    x = 1,766.08

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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.