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Finding the Fourth Proportional to 5,208, 7,187 and 2,969.42

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Solution

The fourth proportional to 5,208, 7,187 and 2,969.42 is: 4,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208 : 7,187 = 2,969.42 : x
  2. Step 2: Convert to fraction form
    5,208/7,187 = 2,969.42/x
  3. Step 3: Cross multiply
    5,208x = 7,187 × 2,969.42
  4. Step 4: Simplify right side
    5,208x = 21,341,221.54
  5. Step 5: Solve for x
    x = 21,341,221.54/5,208
  6. Step 6: Final answer
    x = 4,097.78

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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.