Home / 3,834.53-5,744.50-1,982.87

Finding the Fourth Proportional to 3,834.53, 5,744.50 and 1,982.87

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Solution

The fourth proportional to 3,834.53, 5,744.50 and 1,982.87 is: 2,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.53 : 5,744.50 = 1,982.87 : x
  2. Step 2: Convert to fraction form
    3,834.53/5,744.50 = 1,982.87/x
  3. Step 3: Cross multiply
    3,834.53x = 5,744.50 × 1,982.87
  4. Step 4: Simplify right side
    3,834.53x = 11,390,596.72
  5. Step 5: Solve for x
    x = 11,390,596.72/3,834.53
  6. Step 6: Final answer
    x = 2,970.53

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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.