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Finding the Fourth Proportional to 8,159.20, 12,235.20 and 3,227.20

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Solution

The fourth proportional to 8,159.20, 12,235.20 and 3,227.20 is: 4,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.20 : 12,235.20 = 3,227.20 : x
  2. Step 2: Convert to fraction form
    8,159.20/12,235.20 = 3,227.20/x
  3. Step 3: Cross multiply
    8,159.20x = 12,235.20 × 3,227.20
  4. Step 4: Simplify right side
    8,159.20x = 39,485,437.44
  5. Step 5: Solve for x
    x = 39,485,437.44/8,159.20
  6. Step 6: Final answer
    x = 4,839.38

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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.