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Finding the Fourth Proportional to 2,279, 3,143.76 and 1,531.64

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Solution

The fourth proportional to 2,279, 3,143.76 and 1,531.64 is: 2,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279 : 3,143.76 = 1,531.64 : x
  2. Step 2: Convert to fraction form
    2,279/3,143.76 = 1,531.64/x
  3. Step 3: Cross multiply
    2,279x = 3,143.76 × 1,531.64
  4. Step 4: Simplify right side
    2,279x = 4,815,108.57
  5. Step 5: Solve for x
    x = 4,815,108.57/2,279
  6. Step 6: Final answer
    x = 2,112.82

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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.