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Finding the Fourth Proportional to 2,281.97, 3,422.96 and 821.13

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Solution

The fourth proportional to 2,281.97, 3,422.96 and 821.13 is: 1,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.97 : 3,422.96 = 821.13 : x
  2. Step 2: Convert to fraction form
    2,281.97/3,422.96 = 821.13/x
  3. Step 3: Cross multiply
    2,281.97x = 3,422.96 × 821.13
  4. Step 4: Simplify right side
    2,281.97x = 2,810,695.14
  5. Step 5: Solve for x
    x = 2,810,695.14/2,281.97
  6. Step 6: Final answer
    x = 1,231.70

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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.