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Finding the Fourth Proportional to 3,759.17, 5,187.71 and 2,080.71

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Solution

The fourth proportional to 3,759.17, 5,187.71 and 2,080.71 is: 2,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.17 : 5,187.71 = 2,080.71 : x
  2. Step 2: Convert to fraction form
    3,759.17/5,187.71 = 2,080.71/x
  3. Step 3: Cross multiply
    3,759.17x = 5,187.71 × 2,080.71
  4. Step 4: Simplify right side
    3,759.17x = 10,794,125.28
  5. Step 5: Solve for x
    x = 10,794,125.28/3,759.17
  6. Step 6: Final answer
    x = 2,871.42

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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.