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Finding the Fourth Proportional to 8,724.72, 12,047.38 and 8,091.56

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Solution

The fourth proportional to 8,724.72, 12,047.38 and 8,091.56 is: 11,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.72 : 12,047.38 = 8,091.56 : x
  2. Step 2: Convert to fraction form
    8,724.72/12,047.38 = 8,091.56/x
  3. Step 3: Cross multiply
    8,724.72x = 12,047.38 × 8,091.56
  4. Step 4: Simplify right side
    8,724.72x = 97,482,077.09
  5. Step 5: Solve for x
    x = 97,482,077.09/8,724.72
  6. Step 6: Final answer
    x = 11,173.09

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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.