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Finding the Fourth Proportional to 3,874.62, 5,349.51 and 2,824.86

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Solution

The fourth proportional to 3,874.62, 5,349.51 and 2,824.86 is: 3,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.62 : 5,349.51 = 2,824.86 : x
  2. Step 2: Convert to fraction form
    3,874.62/5,349.51 = 2,824.86/x
  3. Step 3: Cross multiply
    3,874.62x = 5,349.51 × 2,824.86
  4. Step 4: Simplify right side
    3,874.62x = 15,111,616.82
  5. Step 5: Solve for x
    x = 15,111,616.82/3,874.62
  6. Step 6: Final answer
    x = 3,900.15

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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.