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Finding the Fourth Proportional to 2,800.82, 4,201.36 and 1,982.76

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Solution

The fourth proportional to 2,800.82, 4,201.36 and 1,982.76 is: 2,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.82 : 4,201.36 = 1,982.76 : x
  2. Step 2: Convert to fraction form
    2,800.82/4,201.36 = 1,982.76/x
  3. Step 3: Cross multiply
    2,800.82x = 4,201.36 × 1,982.76
  4. Step 4: Simplify right side
    2,800.82x = 8,330,288.55
  5. Step 5: Solve for x
    x = 8,330,288.55/2,800.82
  6. Step 6: Final answer
    x = 2,974.23

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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.