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Finding the Fourth Proportional to 5,191.78, 7,789.20 and 2,420.08

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Solution

The fourth proportional to 5,191.78, 7,789.20 and 2,420.08 is: 3,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.78 : 7,789.20 = 2,420.08 : x
  2. Step 2: Convert to fraction form
    5,191.78/7,789.20 = 2,420.08/x
  3. Step 3: Cross multiply
    5,191.78x = 7,789.20 × 2,420.08
  4. Step 4: Simplify right side
    5,191.78x = 18,850,487.14
  5. Step 5: Solve for x
    x = 18,850,487.14/5,191.78
  6. Step 6: Final answer
    x = 3,630.83

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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.