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Finding the Fourth Proportional to 3,757.75, 5,186.01 and 2,079.70

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Solution

The fourth proportional to 3,757.75, 5,186.01 and 2,079.70 is: 2,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.75 : 5,186.01 = 2,079.70 : x
  2. Step 2: Convert to fraction form
    3,757.75/5,186.01 = 2,079.70/x
  3. Step 3: Cross multiply
    3,757.75x = 5,186.01 × 2,079.70
  4. Step 4: Simplify right side
    3,757.75x = 10,785,344.91
  5. Step 5: Solve for x
    x = 10,785,344.91/3,757.75
  6. Step 6: Final answer
    x = 2,870.16

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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.