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Finding the Fourth Proportional to 3,765.75, 5,649.81 and 1,687.50

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Solution

The fourth proportional to 3,765.75, 5,649.81 and 1,687.50 is: 2,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.75 : 5,649.81 = 1,687.50 : x
  2. Step 2: Convert to fraction form
    3,765.75/5,649.81 = 1,687.50/x
  3. Step 3: Cross multiply
    3,765.75x = 5,649.81 × 1,687.50
  4. Step 4: Simplify right side
    3,765.75x = 9,534,054.38
  5. Step 5: Solve for x
    x = 9,534,054.38/3,765.75
  6. Step 6: Final answer
    x = 2,531.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.