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Finding the Fourth Proportional to 8,189.80, 12,287.10 and 2,644

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Solution

The fourth proportional to 8,189.80, 12,287.10 and 2,644 is: 3,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.80 : 12,287.10 = 2,644 : x
  2. Step 2: Convert to fraction form
    8,189.80/12,287.10 = 2,644/x
  3. Step 3: Cross multiply
    8,189.80x = 12,287.10 × 2,644
  4. Step 4: Simplify right side
    8,189.80x = 32,487,092.40
  5. Step 5: Solve for x
    x = 32,487,092.40/8,189.80
  6. Step 6: Final answer
    x = 3,966.77

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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.