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Finding the Fourth Proportional to 12,191.70, 18,251.10 and 7,258.80

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Solution

The fourth proportional to 12,191.70, 18,251.10 and 7,258.80 is: 10,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.70 : 18,251.10 = 7,258.80 : x
  2. Step 2: Convert to fraction form
    12,191.70/18,251.10 = 7,258.80/x
  3. Step 3: Cross multiply
    12,191.70x = 18,251.10 × 7,258.80
  4. Step 4: Simplify right side
    12,191.70x = 132,481,084.68
  5. Step 5: Solve for x
    x = 132,481,084.68/12,191.70
  6. Step 6: Final answer
    x = 10,866.50

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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.