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Finding the Fourth Proportional to 2,121.38, 2,921.33 and 1,986

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Solution

The fourth proportional to 2,121.38, 2,921.33 and 1,986 is: 2,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.38 : 2,921.33 = 1,986 : x
  2. Step 2: Convert to fraction form
    2,121.38/2,921.33 = 1,986/x
  3. Step 3: Cross multiply
    2,121.38x = 2,921.33 × 1,986
  4. Step 4: Simplify right side
    2,121.38x = 5,801,766.35
  5. Step 5: Solve for x
    x = 5,801,766.35/2,121.38
  6. Step 6: Final answer
    x = 2,734.90

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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.