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Finding the Fourth Proportional to 2,074, 2,862.17 and 1,189.97

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Solution

The fourth proportional to 2,074, 2,862.17 and 1,189.97 is: 1,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074 : 2,862.17 = 1,189.97 : x
  2. Step 2: Convert to fraction form
    2,074/2,862.17 = 1,189.97/x
  3. Step 3: Cross multiply
    2,074x = 2,862.17 × 1,189.97
  4. Step 4: Simplify right side
    2,074x = 3,405,896.43
  5. Step 5: Solve for x
    x = 3,405,896.43/2,074
  6. Step 6: Final answer
    x = 1,642.19

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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.