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Finding the Fourth Proportional to 8,189.86, 12,287.18 and 2,643.09

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Solution

The fourth proportional to 8,189.86, 12,287.18 and 2,643.09 is: 3,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.86 : 12,287.18 = 2,643.09 : x
  2. Step 2: Convert to fraction form
    8,189.86/12,287.18 = 2,643.09/x
  3. Step 3: Cross multiply
    8,189.86x = 12,287.18 × 2,643.09
  4. Step 4: Simplify right side
    8,189.86x = 32,476,122.59
  5. Step 5: Solve for x
    x = 32,476,122.59/8,189.86
  6. Step 6: Final answer
    x = 3,965.41

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1.5x scale

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.