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Finding the Fourth Proportional to 2,281.31, 3,421.97 and 742.31

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Solution

The fourth proportional to 2,281.31, 3,421.97 and 742.31 is: 1,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.31 : 3,421.97 = 742.31 : x
  2. Step 2: Convert to fraction form
    2,281.31/3,421.97 = 742.31/x
  3. Step 3: Cross multiply
    2,281.31x = 3,421.97 × 742.31
  4. Step 4: Simplify right side
    2,281.31x = 2,540,162.55
  5. Step 5: Solve for x
    x = 2,540,162.55/2,281.31
  6. Step 6: Final answer
    x = 1,113.47

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1.5x scale

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.