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Finding the Fourth Proportional to 3,101.76, 4,278.29 and 1,982.20

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Solution

The fourth proportional to 3,101.76, 4,278.29 and 1,982.20 is: 2,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.76 : 4,278.29 = 1,982.20 : x
  2. Step 2: Convert to fraction form
    3,101.76/4,278.29 = 1,982.20/x
  3. Step 3: Cross multiply
    3,101.76x = 4,278.29 × 1,982.20
  4. Step 4: Simplify right side
    3,101.76x = 8,480,426.44
  5. Step 5: Solve for x
    x = 8,480,426.44/3,101.76
  6. Step 6: Final answer
    x = 2,734.07

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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.