Home / 2,282.67-3,425.40-821.70

Finding the Fourth Proportional to 2,282.67, 3,425.40 and 821.70

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Solution

The fourth proportional to 2,282.67, 3,425.40 and 821.70 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.67 : 3,425.40 = 821.70 : x
  2. Step 2: Convert to fraction form
    2,282.67/3,425.40 = 821.70/x
  3. Step 3: Cross multiply
    2,282.67x = 3,425.40 × 821.70
  4. Step 4: Simplify right side
    2,282.67x = 2,814,651.18
  5. Step 5: Solve for x
    x = 2,814,651.18/2,282.67
  6. Step 6: Final answer
    x = 1,233.05

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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.