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Finding the Fourth Proportional to 2,806.80, 4,207.80 and 1,982.48

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Solution

The fourth proportional to 2,806.80, 4,207.80 and 1,982.48 is: 2,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.80 : 4,207.80 = 1,982.48 : x
  2. Step 2: Convert to fraction form
    2,806.80/4,207.80 = 1,982.48/x
  3. Step 3: Cross multiply
    2,806.80x = 4,207.80 × 1,982.48
  4. Step 4: Simplify right side
    2,806.80x = 8,341,879.34
  5. Step 5: Solve for x
    x = 8,341,879.34/2,806.80
  6. Step 6: Final answer
    x = 2,972.02

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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.