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Finding the Fourth Proportional to 3,947.12, 5,927.40 and 3,782

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Solution

The fourth proportional to 3,947.12, 5,927.40 and 3,782 is: 5,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.12 : 5,927.40 = 3,782 : x
  2. Step 2: Convert to fraction form
    3,947.12/5,927.40 = 3,782/x
  3. Step 3: Cross multiply
    3,947.12x = 5,927.40 × 3,782
  4. Step 4: Simplify right side
    3,947.12x = 22,417,426.80
  5. Step 5: Solve for x
    x = 22,417,426.80/3,947.12
  6. Step 6: Final answer
    x = 5,679.44

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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.