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Finding the Fourth Proportional to 5,167.72, 7,742.62 and 3,221.32

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Solution

The fourth proportional to 5,167.72, 7,742.62 and 3,221.32 is: 4,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.72 : 7,742.62 = 3,221.32 : x
  2. Step 2: Convert to fraction form
    5,167.72/7,742.62 = 3,221.32/x
  3. Step 3: Cross multiply
    5,167.72x = 7,742.62 × 3,221.32
  4. Step 4: Simplify right side
    5,167.72x = 24,941,456.66
  5. Step 5: Solve for x
    x = 24,941,456.66/5,167.72
  6. Step 6: Final answer
    x = 4,826.39

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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.