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Finding the Fourth Proportional to 3,965.22, 5,478.81 and 3,467.07

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Solution

The fourth proportional to 3,965.22, 5,478.81 and 3,467.07 is: 4,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.22 : 5,478.81 = 3,467.07 : x
  2. Step 2: Convert to fraction form
    3,965.22/5,478.81 = 3,467.07/x
  3. Step 3: Cross multiply
    3,965.22x = 5,478.81 × 3,467.07
  4. Step 4: Simplify right side
    3,965.22x = 18,995,404.79
  5. Step 5: Solve for x
    x = 18,995,404.79/3,965.22
  6. Step 6: Final answer
    x = 4,790.50

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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.