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Finding the Fourth Proportional to 8,262.80, 12,396.12 and 2,419.52

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Solution

The fourth proportional to 8,262.80, 12,396.12 and 2,419.52 is: 3,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.80 : 12,396.12 = 2,419.52 : x
  2. Step 2: Convert to fraction form
    8,262.80/12,396.12 = 2,419.52/x
  3. Step 3: Cross multiply
    8,262.80x = 12,396.12 × 2,419.52
  4. Step 4: Simplify right side
    8,262.80x = 29,992,660.26
  5. Step 5: Solve for x
    x = 29,992,660.26/8,262.80
  6. Step 6: Final answer
    x = 3,629.84

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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.