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Finding the Fourth Proportional to 3,447.78, 5,159.22 and 2,966.64

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Solution

The fourth proportional to 3,447.78, 5,159.22 and 2,966.64 is: 4,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.78 : 5,159.22 = 2,966.64 : x
  2. Step 2: Convert to fraction form
    3,447.78/5,159.22 = 2,966.64/x
  3. Step 3: Cross multiply
    3,447.78x = 5,159.22 × 2,966.64
  4. Step 4: Simplify right side
    3,447.78x = 15,305,548.42
  5. Step 5: Solve for x
    x = 15,305,548.42/3,447.78
  6. Step 6: Final answer
    x = 4,439.25

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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.