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Finding the Fourth Proportional to 7,778.43, 11,661.12 and 3,392.55

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Solution

The fourth proportional to 7,778.43, 11,661.12 and 3,392.55 is: 5,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.43 : 11,661.12 = 3,392.55 : x
  2. Step 2: Convert to fraction form
    7,778.43/11,661.12 = 3,392.55/x
  3. Step 3: Cross multiply
    7,778.43x = 11,661.12 × 3,392.55
  4. Step 4: Simplify right side
    7,778.43x = 39,560,932.66
  5. Step 5: Solve for x
    x = 39,560,932.66/7,778.43
  6. Step 6: Final answer
    x = 5,085.98

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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.