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Finding the Fourth Proportional to 12,879.78, 17,773.92 and 7,842.66

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Solution

The fourth proportional to 12,879.78, 17,773.92 and 7,842.66 is: 10,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.78 : 17,773.92 = 7,842.66 : x
  2. Step 2: Convert to fraction form
    12,879.78/17,773.92 = 7,842.66/x
  3. Step 3: Cross multiply
    12,879.78x = 17,773.92 × 7,842.66
  4. Step 4: Simplify right side
    12,879.78x = 139,394,811.43
  5. Step 5: Solve for x
    x = 139,394,811.43/12,879.78
  6. Step 6: Final answer
    x = 10,822.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.