Home / 2,275.17-3,414.24-814.20

Finding the Fourth Proportional to 2,275.17, 3,414.24 and 814.20

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Solution

The fourth proportional to 2,275.17, 3,414.24 and 814.20 is: 1,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.17 : 3,414.24 = 814.20 : x
  2. Step 2: Convert to fraction form
    2,275.17/3,414.24 = 814.20/x
  3. Step 3: Cross multiply
    2,275.17x = 3,414.24 × 814.20
  4. Step 4: Simplify right side
    2,275.17x = 2,779,874.21
  5. Step 5: Solve for x
    x = 2,779,874.21/2,275.17
  6. Step 6: Final answer
    x = 1,221.83

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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.