Home / 1,581.38-2,372.70-800.96

Finding the Fourth Proportional to 1,581.38, 2,372.70 and 800.96

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Solution

The fourth proportional to 1,581.38, 2,372.70 and 800.96 is: 1,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.38 : 2,372.70 = 800.96 : x
  2. Step 2: Convert to fraction form
    1,581.38/2,372.70 = 800.96/x
  3. Step 3: Cross multiply
    1,581.38x = 2,372.70 × 800.96
  4. Step 4: Simplify right side
    1,581.38x = 1,900,425.93
  5. Step 5: Solve for x
    x = 1,900,425.93/1,581.38
  6. Step 6: Final answer
    x = 1,201.76

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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.