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Finding the Fourth Proportional to 3,872.47, 5,808.10 and 3,218.55

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Solution

The fourth proportional to 3,872.47, 5,808.10 and 3,218.55 is: 4,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.47 : 5,808.10 = 3,218.55 : x
  2. Step 2: Convert to fraction form
    3,872.47/5,808.10 = 3,218.55/x
  3. Step 3: Cross multiply
    3,872.47x = 5,808.10 × 3,218.55
  4. Step 4: Simplify right side
    3,872.47x = 18,693,615.12
  5. Step 5: Solve for x
    x = 18,693,615.12/3,872.47
  6. Step 6: Final answer
    x = 4,827.31

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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.