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Finding the Fourth Proportional to 8,132.52, 12,224.58 and 7,786.92

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Solution

The fourth proportional to 8,132.52, 12,224.58 and 7,786.92 is: 11,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.52 : 12,224.58 = 7,786.92 : x
  2. Step 2: Convert to fraction form
    8,132.52/12,224.58 = 7,786.92/x
  3. Step 3: Cross multiply
    8,132.52x = 12,224.58 × 7,786.92
  4. Step 4: Simplify right side
    8,132.52x = 95,191,826.49
  5. Step 5: Solve for x
    x = 95,191,826.49/8,132.52
  6. Step 6: Final answer
    x = 11,705.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.