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Finding the Fourth Proportional to 12,191.80, 18,287.70 and 8,033.80

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Solution

The fourth proportional to 12,191.80, 18,287.70 and 8,033.80 is: 12,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.80 : 18,287.70 = 8,033.80 : x
  2. Step 2: Convert to fraction form
    12,191.80/18,287.70 = 8,033.80/x
  3. Step 3: Cross multiply
    12,191.80x = 18,287.70 × 8,033.80
  4. Step 4: Simplify right side
    12,191.80x = 146,919,724.26
  5. Step 5: Solve for x
    x = 146,919,724.26/12,191.80
  6. Step 6: Final answer
    x = 12,050.70

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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.