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Finding the Fourth Proportional to 8,266.31, 12,400.25 and 2,719.70

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Solution

The fourth proportional to 8,266.31, 12,400.25 and 2,719.70 is: 4,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.31 : 12,400.25 = 2,719.70 : x
  2. Step 2: Convert to fraction form
    8,266.31/12,400.25 = 2,719.70/x
  3. Step 3: Cross multiply
    8,266.31x = 12,400.25 × 2,719.70
  4. Step 4: Simplify right side
    8,266.31x = 33,724,884.33
  5. Step 5: Solve for x
    x = 33,724,884.33/8,266.31
  6. Step 6: Final answer
    x = 4,079.80

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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.