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Finding the Fourth Proportional to 3,679.80, 5,078.14 and 2,001.20

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Solution

The fourth proportional to 3,679.80, 5,078.14 and 2,001.20 is: 2,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.80 : 5,078.14 = 2,001.20 : x
  2. Step 2: Convert to fraction form
    3,679.80/5,078.14 = 2,001.20/x
  3. Step 3: Cross multiply
    3,679.80x = 5,078.14 × 2,001.20
  4. Step 4: Simplify right side
    3,679.80x = 10,162,373.77
  5. Step 5: Solve for x
    x = 10,162,373.77/3,679.80
  6. Step 6: Final answer
    x = 2,761.66

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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.