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Finding the Fourth Proportional to 11,778.62, 16,255.42 and 6,744.42

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Solution

The fourth proportional to 11,778.62, 16,255.42 and 6,744.42 is: 9,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.62 : 16,255.42 = 6,744.42 : x
  2. Step 2: Convert to fraction form
    11,778.62/16,255.42 = 6,744.42/x
  3. Step 3: Cross multiply
    11,778.62x = 16,255.42 × 6,744.42
  4. Step 4: Simplify right side
    11,778.62x = 109,633,362.90
  5. Step 5: Solve for x
    x = 109,633,362.90/11,778.62
  6. Step 6: Final answer
    x = 9,307.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.