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Finding the Fourth Proportional to 2,531.80, 3,798.11 and 1,070.97

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Solution

The fourth proportional to 2,531.80, 3,798.11 and 1,070.97 is: 1,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.80 : 3,798.11 = 1,070.97 : x
  2. Step 2: Convert to fraction form
    2,531.80/3,798.11 = 1,070.97/x
  3. Step 3: Cross multiply
    2,531.80x = 3,798.11 × 1,070.97
  4. Step 4: Simplify right side
    2,531.80x = 4,067,650.30
  5. Step 5: Solve for x
    x = 4,067,650.30/2,531.80
  6. Step 6: Final answer
    x = 1,606.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.