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Finding the Fourth Proportional to 2,761.43, 4,120.84 and 2,275.43

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Solution

The fourth proportional to 2,761.43, 4,120.84 and 2,275.43 is: 3,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.43 : 4,120.84 = 2,275.43 : x
  2. Step 2: Convert to fraction form
    2,761.43/4,120.84 = 2,275.43/x
  3. Step 3: Cross multiply
    2,761.43x = 4,120.84 × 2,275.43
  4. Step 4: Simplify right side
    2,761.43x = 9,376,665.20
  5. Step 5: Solve for x
    x = 9,376,665.20/2,761.43
  6. Step 6: Final answer
    x = 3,395.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.