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Finding the Fourth Proportional to 2,020.80, 2,797.92 and 1,982.40

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Solution

The fourth proportional to 2,020.80, 2,797.92 and 1,982.40 is: 2,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.80 : 2,797.92 = 1,982.40 : x
  2. Step 2: Convert to fraction form
    2,020.80/2,797.92 = 1,982.40/x
  3. Step 3: Cross multiply
    2,020.80x = 2,797.92 × 1,982.40
  4. Step 4: Simplify right side
    2,020.80x = 5,546,596.61
  5. Step 5: Solve for x
    x = 5,546,596.61/2,020.80
  6. Step 6: Final answer
    x = 2,744.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.