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Finding the Fourth Proportional to 3,912.12, 5,912.55 and 3,844.08

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Solution

The fourth proportional to 3,912.12, 5,912.55 and 3,844.08 is: 5,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.12 : 5,912.55 = 3,844.08 : x
  2. Step 2: Convert to fraction form
    3,912.12/5,912.55 = 3,844.08/x
  3. Step 3: Cross multiply
    3,912.12x = 5,912.55 × 3,844.08
  4. Step 4: Simplify right side
    3,912.12x = 22,728,315.20
  5. Step 5: Solve for x
    x = 22,728,315.20/3,912.12
  6. Step 6: Final answer
    x = 5,809.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.