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Finding the Fourth Proportional to 3,991.50, 5,989.68 and 1,683

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Solution

The fourth proportional to 3,991.50, 5,989.68 and 1,683 is: 2,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.50 : 5,989.68 = 1,683 : x
  2. Step 2: Convert to fraction form
    3,991.50/5,989.68 = 1,683/x
  3. Step 3: Cross multiply
    3,991.50x = 5,989.68 × 1,683
  4. Step 4: Simplify right side
    3,991.50x = 10,080,631.44
  5. Step 5: Solve for x
    x = 10,080,631.44/3,991.50
  6. Step 6: Final answer
    x = 2,525.52

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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.