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Finding the Fourth Proportional to 11,778.80, 17,645.11 and 6,838.07

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Solution

The fourth proportional to 11,778.80, 17,645.11 and 6,838.07 is: 10,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.80 : 17,645.11 = 6,838.07 : x
  2. Step 2: Convert to fraction form
    11,778.80/17,645.11 = 6,838.07/x
  3. Step 3: Cross multiply
    11,778.80x = 17,645.11 × 6,838.07
  4. Step 4: Simplify right side
    11,778.80x = 120,658,392.02
  5. Step 5: Solve for x
    x = 120,658,392.02/11,778.80
  6. Step 6: Final answer
    x = 10,243.70

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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.