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Finding the Fourth Proportional to 8,761.50, 13,141.50 and 3,214.62

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Solution

The fourth proportional to 8,761.50, 13,141.50 and 3,214.62 is: 4,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.50 : 13,141.50 = 3,214.62 : x
  2. Step 2: Convert to fraction form
    8,761.50/13,141.50 = 3,214.62/x
  3. Step 3: Cross multiply
    8,761.50x = 13,141.50 × 3,214.62
  4. Step 4: Simplify right side
    8,761.50x = 42,244,928.73
  5. Step 5: Solve for x
    x = 42,244,928.73/8,761.50
  6. Step 6: Final answer
    x = 4,821.65

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Why These Related Problems?

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