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Finding the Fourth Proportional to 8,231.61, 11,358.99 and 4,874.16

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Solution

The fourth proportional to 8,231.61, 11,358.99 and 4,874.16 is: 6,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.61 : 11,358.99 = 4,874.16 : x
  2. Step 2: Convert to fraction form
    8,231.61/11,358.99 = 4,874.16/x
  3. Step 3: Cross multiply
    8,231.61x = 11,358.99 × 4,874.16
  4. Step 4: Simplify right side
    8,231.61x = 55,365,534.70
  5. Step 5: Solve for x
    x = 55,365,534.70/8,231.61
  6. Step 6: Final answer
    x = 6,725.97

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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.