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Finding the Fourth Proportional to 2,387.12, 3,579.38 and 743.22

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Solution

The fourth proportional to 2,387.12, 3,579.38 and 743.22 is: 1,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.12 : 3,579.38 = 743.22 : x
  2. Step 2: Convert to fraction form
    2,387.12/3,579.38 = 743.22/x
  3. Step 3: Cross multiply
    2,387.12x = 3,579.38 × 743.22
  4. Step 4: Simplify right side
    2,387.12x = 2,660,266.80
  5. Step 5: Solve for x
    x = 2,660,266.80/2,387.12
  6. Step 6: Final answer
    x = 1,114.43

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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.