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Finding the Fourth Proportional to 8,154, 12,231.60 and 2,682

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Solution

The fourth proportional to 8,154, 12,231.60 and 2,682 is: 4,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 12,231.60 = 2,682 : x
  2. Step 2: Convert to fraction form
    8,154/12,231.60 = 2,682/x
  3. Step 3: Cross multiply
    8,154x = 12,231.60 × 2,682
  4. Step 4: Simplify right side
    8,154x = 32,805,151.20
  5. Step 5: Solve for x
    x = 32,805,151.20/8,154
  6. Step 6: Final answer
    x = 4,023.20

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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.