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Finding the Fourth Proportional to 5,189.55, 7,789.19 and 2,418.14

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Solution

The fourth proportional to 5,189.55, 7,789.19 and 2,418.14 is: 3,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.55 : 7,789.19 = 2,418.14 : x
  2. Step 2: Convert to fraction form
    5,189.55/7,789.19 = 2,418.14/x
  3. Step 3: Cross multiply
    5,189.55x = 7,789.19 × 2,418.14
  4. Step 4: Simplify right side
    5,189.55x = 18,835,351.91
  5. Step 5: Solve for x
    x = 18,835,351.91/5,189.55
  6. Step 6: Final answer
    x = 3,629.48

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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.