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Finding the Fourth Proportional to 7,857, 11,783.16 and 3,694.68

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Solution

The fourth proportional to 7,857, 11,783.16 and 3,694.68 is: 5,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 11,783.16 = 3,694.68 : x
  2. Step 2: Convert to fraction form
    7,857/11,783.16 = 3,694.68/x
  3. Step 3: Cross multiply
    7,857x = 11,783.16 × 3,694.68
  4. Step 4: Simplify right side
    7,857x = 43,535,005.59
  5. Step 5: Solve for x
    x = 43,535,005.59/7,857
  6. Step 6: Final answer
    x = 5,540.92

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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.