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Finding the Fourth Proportional to 3,107.94, 4,661.91 and 799.62

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Solution

The fourth proportional to 3,107.94, 4,661.91 and 799.62 is: 1,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.94 : 4,661.91 = 799.62 : x
  2. Step 2: Convert to fraction form
    3,107.94/4,661.91 = 799.62/x
  3. Step 3: Cross multiply
    3,107.94x = 4,661.91 × 799.62
  4. Step 4: Simplify right side
    3,107.94x = 3,727,756.47
  5. Step 5: Solve for x
    x = 3,727,756.47/3,107.94
  6. Step 6: Final answer
    x = 1,199.43

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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.