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Finding the Fourth Proportional to 8,266, 12,399.78 and 2,717.08

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Solution

The fourth proportional to 8,266, 12,399.78 and 2,717.08 is: 4,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 12,399.78 = 2,717.08 : x
  2. Step 2: Convert to fraction form
    8,266/12,399.78 = 2,717.08/x
  3. Step 3: Cross multiply
    8,266x = 12,399.78 × 2,717.08
  4. Step 4: Simplify right side
    8,266x = 33,691,194.24
  5. Step 5: Solve for x
    x = 33,691,194.24/8,266
  6. Step 6: Final answer
    x = 4,075.88

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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.