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Finding the Fourth Proportional to 3,759, 5,187.42 and 2,188.14

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Solution

The fourth proportional to 3,759, 5,187.42 and 2,188.14 is: 3,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759 : 5,187.42 = 2,188.14 : x
  2. Step 2: Convert to fraction form
    3,759/5,187.42 = 2,188.14/x
  3. Step 3: Cross multiply
    3,759x = 5,187.42 × 2,188.14
  4. Step 4: Simplify right side
    3,759x = 11,350,801.20
  5. Step 5: Solve for x
    x = 11,350,801.20/3,759
  6. Step 6: Final answer
    x = 3,019.63

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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.