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Finding the Fourth Proportional to 3,947.74, 5,920.80 and 1,866.86

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Solution

The fourth proportional to 3,947.74, 5,920.80 and 1,866.86 is: 2,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.74 : 5,920.80 = 1,866.86 : x
  2. Step 2: Convert to fraction form
    3,947.74/5,920.80 = 1,866.86/x
  3. Step 3: Cross multiply
    3,947.74x = 5,920.80 × 1,866.86
  4. Step 4: Simplify right side
    3,947.74x = 11,053,304.69
  5. Step 5: Solve for x
    x = 11,053,304.69/3,947.74
  6. Step 6: Final answer
    x = 2,799.91

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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.