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Finding the Fourth Proportional to 3,722.79, 5,584.31 and 1,872.90

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Solution

The fourth proportional to 3,722.79, 5,584.31 and 1,872.90 is: 2,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.79 : 5,584.31 = 1,872.90 : x
  2. Step 2: Convert to fraction form
    3,722.79/5,584.31 = 1,872.90/x
  3. Step 3: Cross multiply
    3,722.79x = 5,584.31 × 1,872.90
  4. Step 4: Simplify right side
    3,722.79x = 10,458,854.20
  5. Step 5: Solve for x
    x = 10,458,854.20/3,722.79
  6. Step 6: Final answer
    x = 2,809.41

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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.