Home / 2,282.13-3,421.12-820.95

Finding the Fourth Proportional to 2,282.13, 3,421.12 and 820.95

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Solution

The fourth proportional to 2,282.13, 3,421.12 and 820.95 is: 1,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.13 : 3,421.12 = 820.95 : x
  2. Step 2: Convert to fraction form
    2,282.13/3,421.12 = 820.95/x
  3. Step 3: Cross multiply
    2,282.13x = 3,421.12 × 820.95
  4. Step 4: Simplify right side
    2,282.13x = 2,808,566.41
  5. Step 5: Solve for x
    x = 2,808,566.41/2,282.13
  6. Step 6: Final answer
    x = 1,230.68

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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.