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Finding the Fourth Proportional to 8,117.70, 12,169.80 and 3,441.30

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Solution

The fourth proportional to 8,117.70, 12,169.80 and 3,441.30 is: 5,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.70 : 12,169.80 = 3,441.30 : x
  2. Step 2: Convert to fraction form
    8,117.70/12,169.80 = 3,441.30/x
  3. Step 3: Cross multiply
    8,117.70x = 12,169.80 × 3,441.30
  4. Step 4: Simplify right side
    8,117.70x = 41,879,932.74
  5. Step 5: Solve for x
    x = 41,879,932.74/8,117.70
  6. Step 6: Final answer
    x = 5,159.09

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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.