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Finding the Fourth Proportional to 3,722.88, 5,572.80 and 1,987.20

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Solution

The fourth proportional to 3,722.88, 5,572.80 and 1,987.20 is: 2,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.88 : 5,572.80 = 1,987.20 : x
  2. Step 2: Convert to fraction form
    3,722.88/5,572.80 = 1,987.20/x
  3. Step 3: Cross multiply
    3,722.88x = 5,572.80 × 1,987.20
  4. Step 4: Simplify right side
    3,722.88x = 11,074,268.16
  5. Step 5: Solve for x
    x = 11,074,268.16/3,722.88
  6. Step 6: Final answer
    x = 2,974.65

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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.