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Finding the Fourth Proportional to 8,189.68, 12,274.88 and 3,797.88

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Solution

The fourth proportional to 8,189.68, 12,274.88 and 3,797.88 is: 5,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.68 : 12,274.88 = 3,797.88 : x
  2. Step 2: Convert to fraction form
    8,189.68/12,274.88 = 3,797.88/x
  3. Step 3: Cross multiply
    8,189.68x = 12,274.88 × 3,797.88
  4. Step 4: Simplify right side
    8,189.68x = 46,618,521.25
  5. Step 5: Solve for x
    x = 46,618,521.25/8,189.68
  6. Step 6: Final answer
    x = 5,692.35

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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.