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Finding the Fourth Proportional to 2,281.12, 3,422.16 and 742

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Solution

The fourth proportional to 2,281.12, 3,422.16 and 742 is: 1,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.12 : 3,422.16 = 742 : x
  2. Step 2: Convert to fraction form
    2,281.12/3,422.16 = 742/x
  3. Step 3: Cross multiply
    2,281.12x = 3,422.16 × 742
  4. Step 4: Simplify right side
    2,281.12x = 2,539,242.72
  5. Step 5: Solve for x
    x = 2,539,242.72/2,281.12
  6. Step 6: Final answer
    x = 1,113.16

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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.