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Finding the Fourth Proportional to 1,974.43, 2,961.64 and 1,854.14

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Solution

The fourth proportional to 1,974.43, 2,961.64 and 1,854.14 is: 2,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.43 : 2,961.64 = 1,854.14 : x
  2. Step 2: Convert to fraction form
    1,974.43/2,961.64 = 1,854.14/x
  3. Step 3: Cross multiply
    1,974.43x = 2,961.64 × 1,854.14
  4. Step 4: Simplify right side
    1,974.43x = 5,491,295.19
  5. Step 5: Solve for x
    x = 5,491,295.19/1,974.43
  6. Step 6: Final answer
    x = 2,781.21

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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.