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Finding the Fourth Proportional to 3,894.13, 5,832.89 and 3,150.55

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Solution

The fourth proportional to 3,894.13, 5,832.89 and 3,150.55 is: 4,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.13 : 5,832.89 = 3,150.55 : x
  2. Step 2: Convert to fraction form
    3,894.13/5,832.89 = 3,150.55/x
  3. Step 3: Cross multiply
    3,894.13x = 5,832.89 × 3,150.55
  4. Step 4: Simplify right side
    3,894.13x = 18,376,811.59
  5. Step 5: Solve for x
    x = 18,376,811.59/3,894.13
  6. Step 6: Final answer
    x = 4,719.11

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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.