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Finding the Fourth Proportional to 2,874.40, 3,965.40 and 1,694.96

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Solution

The fourth proportional to 2,874.40, 3,965.40 and 1,694.96 is: 2,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.40 : 3,965.40 = 1,694.96 : x
  2. Step 2: Convert to fraction form
    2,874.40/3,965.40 = 1,694.96/x
  3. Step 3: Cross multiply
    2,874.40x = 3,965.40 × 1,694.96
  4. Step 4: Simplify right side
    2,874.40x = 6,721,194.38
  5. Step 5: Solve for x
    x = 6,721,194.38/2,874.40
  6. Step 6: Final answer
    x = 2,338.29

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1.5x scale

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.