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Finding the Fourth Proportional to 3,765.51, 5,649.21 and 1,791.81

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Solution

The fourth proportional to 3,765.51, 5,649.21 and 1,791.81 is: 2,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.51 : 5,649.21 = 1,791.81 : x
  2. Step 2: Convert to fraction form
    3,765.51/5,649.21 = 1,791.81/x
  3. Step 3: Cross multiply
    3,765.51x = 5,649.21 × 1,791.81
  4. Step 4: Simplify right side
    3,765.51x = 10,122,310.97
  5. Step 5: Solve for x
    x = 10,122,310.97/3,765.51
  6. Step 6: Final answer
    x = 2,688.16

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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.