Home / 2,289.92-3,432.18-827.96

Finding the Fourth Proportional to 2,289.92, 3,432.18 and 827.96

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Solution

The fourth proportional to 2,289.92, 3,432.18 and 827.96 is: 1,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.92 : 3,432.18 = 827.96 : x
  2. Step 2: Convert to fraction form
    2,289.92/3,432.18 = 827.96/x
  3. Step 3: Cross multiply
    2,289.92x = 3,432.18 × 827.96
  4. Step 4: Simplify right side
    2,289.92x = 2,841,707.75
  5. Step 5: Solve for x
    x = 2,841,707.75/2,289.92
  6. Step 6: Final answer
    x = 1,240.96

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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.