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Finding the Fourth Proportional to 3,757.67, 5,186.13 and 2,186.63

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Solution

The fourth proportional to 3,757.67, 5,186.13 and 2,186.63 is: 3,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.67 : 5,186.13 = 2,186.63 : x
  2. Step 2: Convert to fraction form
    3,757.67/5,186.13 = 2,186.63/x
  3. Step 3: Cross multiply
    3,757.67x = 5,186.13 × 2,186.63
  4. Step 4: Simplify right side
    3,757.67x = 11,340,147.44
  5. Step 5: Solve for x
    x = 11,340,147.44/3,757.67
  6. Step 6: Final answer
    x = 3,017.87

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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.