Home / 2,282.24-3,422.80-821.36

Finding the Fourth Proportional to 2,282.24, 3,422.80 and 821.36

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Solution

The fourth proportional to 2,282.24, 3,422.80 and 821.36 is: 1,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.24 : 3,422.80 = 821.36 : x
  2. Step 2: Convert to fraction form
    2,282.24/3,422.80 = 821.36/x
  3. Step 3: Cross multiply
    2,282.24x = 3,422.80 × 821.36
  4. Step 4: Simplify right side
    2,282.24x = 2,811,351.01
  5. Step 5: Solve for x
    x = 2,811,351.01/2,282.24
  6. Step 6: Final answer
    x = 1,231.84

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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.