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Finding the Fourth Proportional to 3,873.96, 5,809.71 and 2,231.28

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Solution

The fourth proportional to 3,873.96, 5,809.71 and 2,231.28 is: 3,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.96 : 5,809.71 = 2,231.28 : x
  2. Step 2: Convert to fraction form
    3,873.96/5,809.71 = 2,231.28/x
  3. Step 3: Cross multiply
    3,873.96x = 5,809.71 × 2,231.28
  4. Step 4: Simplify right side
    3,873.96x = 12,963,089.73
  5. Step 5: Solve for x
    x = 12,963,089.73/3,873.96
  6. Step 6: Final answer
    x = 3,346.21

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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.