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Finding the Fourth Proportional to 2,281.34, 3,421.92 and 742.34

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Solution

The fourth proportional to 2,281.34, 3,421.92 and 742.34 is: 1,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.34 : 3,421.92 = 742.34 : x
  2. Step 2: Convert to fraction form
    2,281.34/3,421.92 = 742.34/x
  3. Step 3: Cross multiply
    2,281.34x = 3,421.92 × 742.34
  4. Step 4: Simplify right side
    2,281.34x = 2,540,228.09
  5. Step 5: Solve for x
    x = 2,540,228.09/2,281.34
  6. Step 6: Final answer
    x = 1,113.48

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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.