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Finding the Fourth Proportional to 3,872, 5,343.16 and 2,103.56

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Solution

The fourth proportional to 3,872, 5,343.16 and 2,103.56 is: 2,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872 : 5,343.16 = 2,103.56 : x
  2. Step 2: Convert to fraction form
    3,872/5,343.16 = 2,103.56/x
  3. Step 3: Cross multiply
    3,872x = 5,343.16 × 2,103.56
  4. Step 4: Simplify right side
    3,872x = 11,239,657.65
  5. Step 5: Solve for x
    x = 11,239,657.65/3,872
  6. Step 6: Final answer
    x = 2,902.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.