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Finding the Fourth Proportional to 8,121.88, 12,182.84 and 1,965.88

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Solution

The fourth proportional to 8,121.88, 12,182.84 and 1,965.88 is: 2,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.88 : 12,182.84 = 1,965.88 : x
  2. Step 2: Convert to fraction form
    8,121.88/12,182.84 = 1,965.88/x
  3. Step 3: Cross multiply
    8,121.88x = 12,182.84 × 1,965.88
  4. Step 4: Simplify right side
    8,121.88x = 23,949,930.76
  5. Step 5: Solve for x
    x = 23,949,930.76/8,121.88
  6. Step 6: Final answer
    x = 2,948.82

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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.