Home / 2,275.38-3,412.14-814.04

Finding the Fourth Proportional to 2,275.38, 3,412.14 and 814.04

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Solution

The fourth proportional to 2,275.38, 3,412.14 and 814.04 is: 1,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.38 : 3,412.14 = 814.04 : x
  2. Step 2: Convert to fraction form
    2,275.38/3,412.14 = 814.04/x
  3. Step 3: Cross multiply
    2,275.38x = 3,412.14 × 814.04
  4. Step 4: Simplify right side
    2,275.38x = 2,777,601.38
  5. Step 5: Solve for x
    x = 2,777,601.38/2,275.38
  6. Step 6: Final answer
    x = 1,220.72

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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.