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Finding the Fourth Proportional to 3,872, 5,806.16 and 1,921.92

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Solution

The fourth proportional to 3,872, 5,806.16 and 1,921.92 is: 2,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872 : 5,806.16 = 1,921.92 : x
  2. Step 2: Convert to fraction form
    3,872/5,806.16 = 1,921.92/x
  3. Step 3: Cross multiply
    3,872x = 5,806.16 × 1,921.92
  4. Step 4: Simplify right side
    3,872x = 11,158,975.03
  5. Step 5: Solve for x
    x = 11,158,975.03/3,872
  6. Step 6: Final answer
    x = 2,881.97

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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.