Home / 2,546.12-3,818.46-814.52

Finding the Fourth Proportional to 2,546.12, 3,818.46 and 814.52

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Solution

The fourth proportional to 2,546.12, 3,818.46 and 814.52 is: 1,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.12 : 3,818.46 = 814.52 : x
  2. Step 2: Convert to fraction form
    2,546.12/3,818.46 = 814.52/x
  3. Step 3: Cross multiply
    2,546.12x = 3,818.46 × 814.52
  4. Step 4: Simplify right side
    2,546.12x = 3,110,212.04
  5. Step 5: Solve for x
    x = 3,110,212.04/2,546.12
  6. Step 6: Final answer
    x = 1,221.55

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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.