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Finding the Fourth Proportional to 11,959.85, 17,930.83 and 8,251.49

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Solution

The fourth proportional to 11,959.85, 17,930.83 and 8,251.49 is: 12,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.85 : 17,930.83 = 8,251.49 : x
  2. Step 2: Convert to fraction form
    11,959.85/17,930.83 = 8,251.49/x
  3. Step 3: Cross multiply
    11,959.85x = 17,930.83 × 8,251.49
  4. Step 4: Simplify right side
    11,959.85x = 147,956,023.18
  5. Step 5: Solve for x
    x = 147,956,023.18/11,959.85
  6. Step 6: Final answer
    x = 12,371.07

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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.