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Finding the Fourth Proportional to 3,951, 5,451.66 and 2,552.94

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Solution

The fourth proportional to 3,951, 5,451.66 and 2,552.94 is: 3,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951 : 5,451.66 = 2,552.94 : x
  2. Step 2: Convert to fraction form
    3,951/5,451.66 = 2,552.94/x
  3. Step 3: Cross multiply
    3,951x = 5,451.66 × 2,552.94
  4. Step 4: Simplify right side
    3,951x = 13,917,760.88
  5. Step 5: Solve for x
    x = 13,917,760.88/3,951
  6. Step 6: Final answer
    x = 3,522.59

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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.