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Finding the Fourth Proportional to 2,171.92, 2,998.26 and 1,425.88

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Solution

The fourth proportional to 2,171.92, 2,998.26 and 1,425.88 is: 1,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.92 : 2,998.26 = 1,425.88 : x
  2. Step 2: Convert to fraction form
    2,171.92/2,998.26 = 1,425.88/x
  3. Step 3: Cross multiply
    2,171.92x = 2,998.26 × 1,425.88
  4. Step 4: Simplify right side
    2,171.92x = 4,275,158.97
  5. Step 5: Solve for x
    x = 4,275,158.97/2,171.92
  6. Step 6: Final answer
    x = 1,968.38

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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.