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Finding the Fourth Proportional to 20,874.54, 31,308.48 and 7,723.92

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Solution

The fourth proportional to 20,874.54, 31,308.48 and 7,723.92 is: 11,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.54 : 31,308.48 = 7,723.92 : x
  2. Step 2: Convert to fraction form
    20,874.54/31,308.48 = 7,723.92/x
  3. Step 3: Cross multiply
    20,874.54x = 31,308.48 × 7,723.92
  4. Step 4: Simplify right side
    20,874.54x = 241,824,194.84
  5. Step 5: Solve for x
    x = 241,824,194.84/20,874.54
  6. Step 6: Final answer
    x = 11,584.65

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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.