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Finding the Fourth Proportional to 3,947.14, 5,447.28 and 2,375.74

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Solution

The fourth proportional to 3,947.14, 5,447.28 and 2,375.74 is: 3,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.14 : 5,447.28 = 2,375.74 : x
  2. Step 2: Convert to fraction form
    3,947.14/5,447.28 = 2,375.74/x
  3. Step 3: Cross multiply
    3,947.14x = 5,447.28 × 2,375.74
  4. Step 4: Simplify right side
    3,947.14x = 12,941,320.99
  5. Step 5: Solve for x
    x = 12,941,320.99/3,947.14
  6. Step 6: Final answer
    x = 3,278.66

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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.