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Finding the Fourth Proportional to 2,203.12, 3,305.10 and 742.30

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Solution

The fourth proportional to 2,203.12, 3,305.10 and 742.30 is: 1,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.12 : 3,305.10 = 742.30 : x
  2. Step 2: Convert to fraction form
    2,203.12/3,305.10 = 742.30/x
  3. Step 3: Cross multiply
    2,203.12x = 3,305.10 × 742.30
  4. Step 4: Simplify right side
    2,203.12x = 2,453,375.73
  5. Step 5: Solve for x
    x = 2,453,375.73/2,203.12
  6. Step 6: Final answer
    x = 1,113.59

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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.