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Finding the Fourth Proportional to 3,950.72, 5,452.28 and 2,272.64

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Solution

The fourth proportional to 3,950.72, 5,452.28 and 2,272.64 is: 3,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.72 : 5,452.28 = 2,272.64 : x
  2. Step 2: Convert to fraction form
    3,950.72/5,452.28 = 2,272.64/x
  3. Step 3: Cross multiply
    3,950.72x = 5,452.28 × 2,272.64
  4. Step 4: Simplify right side
    3,950.72x = 12,391,069.62
  5. Step 5: Solve for x
    x = 12,391,069.62/3,950.72
  6. Step 6: Final answer
    x = 3,136.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.