Home / 2,282.12-3,423.20-550.76

Finding the Fourth Proportional to 2,282.12, 3,423.20 and 550.76

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Solution

The fourth proportional to 2,282.12, 3,423.20 and 550.76 is: 826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.12 : 3,423.20 = 550.76 : x
  2. Step 2: Convert to fraction form
    2,282.12/3,423.20 = 550.76/x
  3. Step 3: Cross multiply
    2,282.12x = 3,423.20 × 550.76
  4. Step 4: Simplify right side
    2,282.12x = 1,885,361.63
  5. Step 5: Solve for x
    x = 1,885,361.63/2,282.12
  6. Step 6: Final answer
    x = 826.14

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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.