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Finding the Fourth Proportional to 8,022.76, 11,072.62 and 4,878.34

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Solution

The fourth proportional to 8,022.76, 11,072.62 and 4,878.34 is: 6,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.76 : 11,072.62 = 4,878.34 : x
  2. Step 2: Convert to fraction form
    8,022.76/11,072.62 = 4,878.34/x
  3. Step 3: Cross multiply
    8,022.76x = 11,072.62 × 4,878.34
  4. Step 4: Simplify right side
    8,022.76x = 54,016,005.05
  5. Step 5: Solve for x
    x = 54,016,005.05/8,022.76
  6. Step 6: Final answer
    x = 6,732.85

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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.