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Finding the Fourth Proportional to 11,879.98, 17,822.40 and 4,087.78

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Solution

The fourth proportional to 11,879.98, 17,822.40 and 4,087.78 is: 6,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.98 : 17,822.40 = 4,087.78 : x
  2. Step 2: Convert to fraction form
    11,879.98/17,822.40 = 4,087.78/x
  3. Step 3: Cross multiply
    11,879.98x = 17,822.40 × 4,087.78
  4. Step 4: Simplify right side
    11,879.98x = 72,854,050.27
  5. Step 5: Solve for x
    x = 72,854,050.27/11,879.98
  6. Step 6: Final answer
    x = 6,132.51

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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.