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Finding the Fourth Proportional to 20,872.54, 31,305.48 and 7,721.92

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Solution

The fourth proportional to 20,872.54, 31,305.48 and 7,721.92 is: 11,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.54 : 31,305.48 = 7,721.92 : x
  2. Step 2: Convert to fraction form
    20,872.54/31,305.48 = 7,721.92/x
  3. Step 3: Cross multiply
    20,872.54x = 31,305.48 × 7,721.92
  4. Step 4: Simplify right side
    20,872.54x = 241,738,412.12
  5. Step 5: Solve for x
    x = 241,738,412.12/20,872.54
  6. Step 6: Final answer
    x = 11,581.65

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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.