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Finding the Fourth Proportional to 8,481.28, 11,706.02 and 4,705.75

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Solution

The fourth proportional to 8,481.28, 11,706.02 and 4,705.75 is: 6,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.28 : 11,706.02 = 4,705.75 : x
  2. Step 2: Convert to fraction form
    8,481.28/11,706.02 = 4,705.75/x
  3. Step 3: Cross multiply
    8,481.28x = 11,706.02 × 4,705.75
  4. Step 4: Simplify right side
    8,481.28x = 55,085,603.62
  5. Step 5: Solve for x
    x = 55,085,603.62/8,481.28
  6. Step 6: Final answer
    x = 6,494.96

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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.