Home / 2,281.48-3,422.28-820.78

Finding the Fourth Proportional to 2,281.48, 3,422.28 and 820.78

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Solution

The fourth proportional to 2,281.48, 3,422.28 and 820.78 is: 1,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.48 : 3,422.28 = 820.78 : x
  2. Step 2: Convert to fraction form
    2,281.48/3,422.28 = 820.78/x
  3. Step 3: Cross multiply
    2,281.48x = 3,422.28 × 820.78
  4. Step 4: Simplify right side
    2,281.48x = 2,808,938.98
  5. Step 5: Solve for x
    x = 2,808,938.98/2,281.48
  6. Step 6: Final answer
    x = 1,231.19

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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.