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Finding the Fourth Proportional to 3,881.67, 5,821.11 and 1,689.87

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Solution

The fourth proportional to 3,881.67, 5,821.11 and 1,689.87 is: 2,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.67 : 5,821.11 = 1,689.87 : x
  2. Step 2: Convert to fraction form
    3,881.67/5,821.11 = 1,689.87/x
  3. Step 3: Cross multiply
    3,881.67x = 5,821.11 × 1,689.87
  4. Step 4: Simplify right side
    3,881.67x = 9,836,919.16
  5. Step 5: Solve for x
    x = 9,836,919.16/3,881.67
  6. Step 6: Final answer
    x = 2,534.20

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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.