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Finding the Fourth Proportional to 3,950.72, 5,448.48 and 2,552

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Solution

The fourth proportional to 3,950.72, 5,448.48 and 2,552 is: 3,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.72 : 5,448.48 = 2,552 : x
  2. Step 2: Convert to fraction form
    3,950.72/5,448.48 = 2,552/x
  3. Step 3: Cross multiply
    3,950.72x = 5,448.48 × 2,552
  4. Step 4: Simplify right side
    3,950.72x = 13,904,520.96
  5. Step 5: Solve for x
    x = 13,904,520.96/3,950.72
  6. Step 6: Final answer
    x = 3,519.49

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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.