Home / 2,282.24-3,421.92-821.12

Finding the Fourth Proportional to 2,282.24, 3,421.92 and 821.12

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Solution

The fourth proportional to 2,282.24, 3,421.92 and 821.12 is: 1,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.24 : 3,421.92 = 821.12 : x
  2. Step 2: Convert to fraction form
    2,282.24/3,421.92 = 821.12/x
  3. Step 3: Cross multiply
    2,282.24x = 3,421.92 × 821.12
  4. Step 4: Simplify right side
    2,282.24x = 2,809,806.95
  5. Step 5: Solve for x
    x = 2,809,806.95/2,282.24
  6. Step 6: Final answer
    x = 1,231.16

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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.