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Finding the Fourth Proportional to 7,917, 11,879.58 and 3,477.78

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Solution

The fourth proportional to 7,917, 11,879.58 and 3,477.78 is: 5,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 11,879.58 = 3,477.78 : x
  2. Step 2: Convert to fraction form
    7,917/11,879.58 = 3,477.78/x
  3. Step 3: Cross multiply
    7,917x = 11,879.58 × 3,477.78
  4. Step 4: Simplify right side
    7,917x = 41,314,565.73
  5. Step 5: Solve for x
    x = 41,314,565.73/7,917
  6. Step 6: Final answer
    x = 5,218.46

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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.