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Finding the Fourth Proportional to 3,894.72, 5,837.46 and 2,247.87

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Solution

The fourth proportional to 3,894.72, 5,837.46 and 2,247.87 is: 3,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.72 : 5,837.46 = 2,247.87 : x
  2. Step 2: Convert to fraction form
    3,894.72/5,837.46 = 2,247.87/x
  3. Step 3: Cross multiply
    3,894.72x = 5,837.46 × 2,247.87
  4. Step 4: Simplify right side
    3,894.72x = 13,121,851.21
  5. Step 5: Solve for x
    x = 13,121,851.21/3,894.72
  6. Step 6: Final answer
    x = 3,369.14

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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.