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Finding the Fourth Proportional to 2,788.44, 4,174.02 and 2,019.48

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Solution

The fourth proportional to 2,788.44, 4,174.02 and 2,019.48 is: 3,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.44 : 4,174.02 = 2,019.48 : x
  2. Step 2: Convert to fraction form
    2,788.44/4,174.02 = 2,019.48/x
  3. Step 3: Cross multiply
    2,788.44x = 4,174.02 × 2,019.48
  4. Step 4: Simplify right side
    2,788.44x = 8,429,349.91
  5. Step 5: Solve for x
    x = 8,429,349.91/2,788.44
  6. Step 6: Final answer
    x = 3,022.96

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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.