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Finding the Fourth Proportional to 7,778.71, 11,672.90 and 3,161.71

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Solution

The fourth proportional to 7,778.71, 11,672.90 and 3,161.71 is: 4,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.71 : 11,672.90 = 3,161.71 : x
  2. Step 2: Convert to fraction form
    7,778.71/11,672.90 = 3,161.71/x
  3. Step 3: Cross multiply
    7,778.71x = 11,672.90 × 3,161.71
  4. Step 4: Simplify right side
    7,778.71x = 36,906,324.66
  5. Step 5: Solve for x
    x = 36,906,324.66/7,778.71
  6. Step 6: Final answer
    x = 4,744.53

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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.