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Finding the Fourth Proportional to 25,955.80, 38,942.74 and 8,189.20

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Solution

The fourth proportional to 25,955.80, 38,942.74 and 8,189.20 is: 12,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,955.80 : 38,942.74 = 8,189.20 : x
  2. Step 2: Convert to fraction form
    25,955.80/38,942.74 = 8,189.20/x
  3. Step 3: Cross multiply
    25,955.80x = 38,942.74 × 8,189.20
  4. Step 4: Simplify right side
    25,955.80x = 318,910,046.95
  5. Step 5: Solve for x
    x = 318,910,046.95/25,955.80
  6. Step 6: Final answer
    x = 12,286.66

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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.