Home / 3,830.22-5,745.87-1,981.53

Finding the Fourth Proportional to 3,830.22, 5,745.87 and 1,981.53

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Solution

The fourth proportional to 3,830.22, 5,745.87 and 1,981.53 is: 2,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.22 : 5,745.87 = 1,981.53 : x
  2. Step 2: Convert to fraction form
    3,830.22/5,745.87 = 1,981.53/x
  3. Step 3: Cross multiply
    3,830.22x = 5,745.87 × 1,981.53
  4. Step 4: Simplify right side
    3,830.22x = 11,385,613.78
  5. Step 5: Solve for x
    x = 11,385,613.78/3,830.22
  6. Step 6: Final answer
    x = 2,972.57

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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.