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Finding the Fourth Proportional to 2,229.62, 3,344.35 and 842.90

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Solution

The fourth proportional to 2,229.62, 3,344.35 and 842.90 is: 1,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.62 : 3,344.35 = 842.90 : x
  2. Step 2: Convert to fraction form
    2,229.62/3,344.35 = 842.90/x
  3. Step 3: Cross multiply
    2,229.62x = 3,344.35 × 842.90
  4. Step 4: Simplify right side
    2,229.62x = 2,818,952.62
  5. Step 5: Solve for x
    x = 2,818,952.62/2,229.62
  6. Step 6: Final answer
    x = 1,264.32

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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.