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Finding the Fourth Proportional to 2,800.92, 4,200.30 and 825.96

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Solution

The fourth proportional to 2,800.92, 4,200.30 and 825.96 is: 1,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.92 : 4,200.30 = 825.96 : x
  2. Step 2: Convert to fraction form
    2,800.92/4,200.30 = 825.96/x
  3. Step 3: Cross multiply
    2,800.92x = 4,200.30 × 825.96
  4. Step 4: Simplify right side
    2,800.92x = 3,469,279.79
  5. Step 5: Solve for x
    x = 3,469,279.79/2,800.92
  6. Step 6: Final answer
    x = 1,238.62

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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.