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Finding the Fourth Proportional to 5,217, 7,198.34 and 3,093.20

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Solution

The fourth proportional to 5,217, 7,198.34 and 3,093.20 is: 4,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217 : 7,198.34 = 3,093.20 : x
  2. Step 2: Convert to fraction form
    5,217/7,198.34 = 3,093.20/x
  3. Step 3: Cross multiply
    5,217x = 7,198.34 × 3,093.20
  4. Step 4: Simplify right side
    5,217x = 22,265,905.29
  5. Step 5: Solve for x
    x = 22,265,905.29/5,217
  6. Step 6: Final answer
    x = 4,267.95

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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.