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Finding the Fourth Proportional to 1,892.80, 2,613.36 and 1,449.92

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Solution

The fourth proportional to 1,892.80, 2,613.36 and 1,449.92 is: 2,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.80 : 2,613.36 = 1,449.92 : x
  2. Step 2: Convert to fraction form
    1,892.80/2,613.36 = 1,449.92/x
  3. Step 3: Cross multiply
    1,892.80x = 2,613.36 × 1,449.92
  4. Step 4: Simplify right side
    1,892.80x = 3,789,162.93
  5. Step 5: Solve for x
    x = 3,789,162.93/1,892.80
  6. Step 6: Final answer
    x = 2,001.88

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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.