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Finding the Fourth Proportional to 8,227.85, 12,342.80 and 2,679.71

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Solution

The fourth proportional to 8,227.85, 12,342.80 and 2,679.71 is: 4,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.85 : 12,342.80 = 2,679.71 : x
  2. Step 2: Convert to fraction form
    8,227.85/12,342.80 = 2,679.71/x
  3. Step 3: Cross multiply
    8,227.85x = 12,342.80 × 2,679.71
  4. Step 4: Simplify right side
    8,227.85x = 33,075,124.59
  5. Step 5: Solve for x
    x = 33,075,124.59/8,227.85
  6. Step 6: Final answer
    x = 4,019.90

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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.