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Finding the Fourth Proportional to 3,241.94, 4,862.63 and 869.82

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Solution

The fourth proportional to 3,241.94, 4,862.63 and 869.82 is: 1,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.94 : 4,862.63 = 869.82 : x
  2. Step 2: Convert to fraction form
    3,241.94/4,862.63 = 869.82/x
  3. Step 3: Cross multiply
    3,241.94x = 4,862.63 × 869.82
  4. Step 4: Simplify right side
    3,241.94x = 4,229,608.48
  5. Step 5: Solve for x
    x = 4,229,608.48/3,241.94
  6. Step 6: Final answer
    x = 1,304.66

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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.