Home / 2,283.08-3,422.56-821.21

Finding the Fourth Proportional to 2,283.08, 3,422.56 and 821.21

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Solution

The fourth proportional to 2,283.08, 3,422.56 and 821.21 is: 1,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.08 : 3,422.56 = 821.21 : x
  2. Step 2: Convert to fraction form
    2,283.08/3,422.56 = 821.21/x
  3. Step 3: Cross multiply
    2,283.08x = 3,422.56 × 821.21
  4. Step 4: Simplify right side
    2,283.08x = 2,810,624.41
  5. Step 5: Solve for x
    x = 2,810,624.41/2,283.08
  6. Step 6: Final answer
    x = 1,231.07

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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.