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Finding the Fourth Proportional to 9,125.92, 12,587.97 and 5,982.31

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Solution

The fourth proportional to 9,125.92, 12,587.97 and 5,982.31 is: 8,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.92 : 12,587.97 = 5,982.31 : x
  2. Step 2: Convert to fraction form
    9,125.92/12,587.97 = 5,982.31/x
  3. Step 3: Cross multiply
    9,125.92x = 12,587.97 × 5,982.31
  4. Step 4: Simplify right side
    9,125.92x = 75,305,138.81
  5. Step 5: Solve for x
    x = 75,305,138.81/9,125.92
  6. Step 6: Final answer
    x = 8,251.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.