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Finding the Fourth Proportional to 3,993.50, 5,992.68 and 1,685

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Solution

The fourth proportional to 3,993.50, 5,992.68 and 1,685 is: 2,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.50 : 5,992.68 = 1,685 : x
  2. Step 2: Convert to fraction form
    3,993.50/5,992.68 = 1,685/x
  3. Step 3: Cross multiply
    3,993.50x = 5,992.68 × 1,685
  4. Step 4: Simplify right side
    3,993.50x = 10,097,665.80
  5. Step 5: Solve for x
    x = 10,097,665.80/3,993.50
  6. Step 6: Final answer
    x = 2,528.53

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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.