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Finding the Fourth Proportional to 7,908.66, 11,866.20 and 4,209.78

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Solution

The fourth proportional to 7,908.66, 11,866.20 and 4,209.78 is: 6,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.66 : 11,866.20 = 4,209.78 : x
  2. Step 2: Convert to fraction form
    7,908.66/11,866.20 = 4,209.78/x
  3. Step 3: Cross multiply
    7,908.66x = 11,866.20 × 4,209.78
  4. Step 4: Simplify right side
    7,908.66x = 49,954,091.44
  5. Step 5: Solve for x
    x = 49,954,091.44/7,908.66
  6. Step 6: Final answer
    x = 6,316.38

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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.