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Finding the Fourth Proportional to 3,881.43, 5,822.13 and 1,689.90

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Solution

The fourth proportional to 3,881.43, 5,822.13 and 1,689.90 is: 2,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.43 : 5,822.13 = 1,689.90 : x
  2. Step 2: Convert to fraction form
    3,881.43/5,822.13 = 1,689.90/x
  3. Step 3: Cross multiply
    3,881.43x = 5,822.13 × 1,689.90
  4. Step 4: Simplify right side
    3,881.43x = 9,838,817.49
  5. Step 5: Solve for x
    x = 9,838,817.49/3,881.43
  6. Step 6: Final answer
    x = 2,534.84

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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.