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Finding the Fourth Proportional to 3,947.84, 5,447.92 and 2,179.42

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Solution

The fourth proportional to 3,947.84, 5,447.92 and 2,179.42 is: 3,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.84 : 5,447.92 = 2,179.42 : x
  2. Step 2: Convert to fraction form
    3,947.84/5,447.92 = 2,179.42/x
  3. Step 3: Cross multiply
    3,947.84x = 5,447.92 × 2,179.42
  4. Step 4: Simplify right side
    3,947.84x = 11,873,305.81
  5. Step 5: Solve for x
    x = 11,873,305.81/3,947.84
  6. Step 6: Final answer
    x = 3,007.54

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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.