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Finding the Fourth Proportional to 2,185.78, 3,278.07 and 724.75

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Solution

The fourth proportional to 2,185.78, 3,278.07 and 724.75 is: 1,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.78 : 3,278.07 = 724.75 : x
  2. Step 2: Convert to fraction form
    2,185.78/3,278.07 = 724.75/x
  3. Step 3: Cross multiply
    2,185.78x = 3,278.07 × 724.75
  4. Step 4: Simplify right side
    2,185.78x = 2,375,781.23
  5. Step 5: Solve for x
    x = 2,375,781.23/2,185.78
  6. Step 6: Final answer
    x = 1,086.93

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1.5x scale

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.