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Finding the Fourth Proportional to 8,651.62, 12,976.80 and 4,942.21

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Solution

The fourth proportional to 8,651.62, 12,976.80 and 4,942.21 is: 7,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.62 : 12,976.80 = 4,942.21 : x
  2. Step 2: Convert to fraction form
    8,651.62/12,976.80 = 4,942.21/x
  3. Step 3: Cross multiply
    8,651.62x = 12,976.80 × 4,942.21
  4. Step 4: Simplify right side
    8,651.62x = 64,134,070.73
  5. Step 5: Solve for x
    x = 64,134,070.73/8,651.62
  6. Step 6: Final answer
    x = 7,412.96

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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.