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Finding the Fourth Proportional to 2,141.68, 2,959.32 and 1,679.44

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Solution

The fourth proportional to 2,141.68, 2,959.32 and 1,679.44 is: 2,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.68 : 2,959.32 = 1,679.44 : x
  2. Step 2: Convert to fraction form
    2,141.68/2,959.32 = 1,679.44/x
  3. Step 3: Cross multiply
    2,141.68x = 2,959.32 × 1,679.44
  4. Step 4: Simplify right side
    2,141.68x = 4,970,000.38
  5. Step 5: Solve for x
    x = 4,970,000.38/2,141.68
  6. Step 6: Final answer
    x = 2,320.61

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1.5x scale

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.