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Finding the Fourth Proportional to 7,842.78, 11,764.19 and 1,919.66

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Solution

The fourth proportional to 7,842.78, 11,764.19 and 1,919.66 is: 2,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.78 : 11,764.19 = 1,919.66 : x
  2. Step 2: Convert to fraction form
    7,842.78/11,764.19 = 1,919.66/x
  3. Step 3: Cross multiply
    7,842.78x = 11,764.19 × 1,919.66
  4. Step 4: Simplify right side
    7,842.78x = 22,583,176.56
  5. Step 5: Solve for x
    x = 22,583,176.56/7,842.78
  6. Step 6: Final answer
    x = 2,879.49

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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.