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Finding the Fourth Proportional to 8,121.39, 12,182.07 and 1,965.39

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Solution

The fourth proportional to 8,121.39, 12,182.07 and 1,965.39 is: 2,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.39 : 12,182.07 = 1,965.39 : x
  2. Step 2: Convert to fraction form
    8,121.39/12,182.07 = 1,965.39/x
  3. Step 3: Cross multiply
    8,121.39x = 12,182.07 × 1,965.39
  4. Step 4: Simplify right side
    8,121.39x = 23,942,518.56
  5. Step 5: Solve for x
    x = 23,942,518.56/8,121.39
  6. Step 6: Final answer
    x = 2,948.08

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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.