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Finding the Fourth Proportional to 12,768.62, 19,163.93 and 4,982.90

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Solution

The fourth proportional to 12,768.62, 19,163.93 and 4,982.90 is: 7,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.62 : 19,163.93 = 4,982.90 : x
  2. Step 2: Convert to fraction form
    12,768.62/19,163.93 = 4,982.90/x
  3. Step 3: Cross multiply
    12,768.62x = 19,163.93 × 4,982.90
  4. Step 4: Simplify right side
    12,768.62x = 95,491,826.06
  5. Step 5: Solve for x
    x = 95,491,826.06/12,768.62
  6. Step 6: Final answer
    x = 7,478.64

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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.