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Finding the Fourth Proportional to 3,761.57, 5,189.33 and 2,268.65

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Solution

The fourth proportional to 3,761.57, 5,189.33 and 2,268.65 is: 3,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.57 : 5,189.33 = 2,268.65 : x
  2. Step 2: Convert to fraction form
    3,761.57/5,189.33 = 2,268.65/x
  3. Step 3: Cross multiply
    3,761.57x = 5,189.33 × 2,268.65
  4. Step 4: Simplify right side
    3,761.57x = 11,772,775.13
  5. Step 5: Solve for x
    x = 11,772,775.13/3,761.57
  6. Step 6: Final answer
    x = 3,129.75

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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.