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Finding the Fourth Proportional to 8,146.74, 12,221.74 and 3,218.70

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Solution

The fourth proportional to 8,146.74, 12,221.74 and 3,218.70 is: 4,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.74 : 12,221.74 = 3,218.70 : x
  2. Step 2: Convert to fraction form
    8,146.74/12,221.74 = 3,218.70/x
  3. Step 3: Cross multiply
    8,146.74x = 12,221.74 × 3,218.70
  4. Step 4: Simplify right side
    8,146.74x = 39,338,114.54
  5. Step 5: Solve for x
    x = 39,338,114.54/8,146.74
  6. Step 6: Final answer
    x = 4,828.69

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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.