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Finding the Fourth Proportional to 1,842.68, 2,542.92 and 1,057.20

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Solution

The fourth proportional to 1,842.68, 2,542.92 and 1,057.20 is: 1,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.68 : 2,542.92 = 1,057.20 : x
  2. Step 2: Convert to fraction form
    1,842.68/2,542.92 = 1,057.20/x
  3. Step 3: Cross multiply
    1,842.68x = 2,542.92 × 1,057.20
  4. Step 4: Simplify right side
    1,842.68x = 2,688,375.02
  5. Step 5: Solve for x
    x = 2,688,375.02/1,842.68
  6. Step 6: Final answer
    x = 1,458.95

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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.