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Finding the Fourth Proportional to 12,757.50, 19,138.41 and 3,990.69

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Solution

The fourth proportional to 12,757.50, 19,138.41 and 3,990.69 is: 5,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.50 : 19,138.41 = 3,990.69 : x
  2. Step 2: Convert to fraction form
    12,757.50/19,138.41 = 3,990.69/x
  3. Step 3: Cross multiply
    12,757.50x = 19,138.41 × 3,990.69
  4. Step 4: Simplify right side
    12,757.50x = 76,375,461.40
  5. Step 5: Solve for x
    x = 76,375,461.40/12,757.50
  6. Step 6: Final answer
    x = 5,986.71

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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.