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Finding the Fourth Proportional to 12,550.20, 17,326.78 and 7,840.86

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Solution

The fourth proportional to 12,550.20, 17,326.78 and 7,840.86 is: 10,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550.20 : 17,326.78 = 7,840.86 : x
  2. Step 2: Convert to fraction form
    12,550.20/17,326.78 = 7,840.86/x
  3. Step 3: Cross multiply
    12,550.20x = 17,326.78 × 7,840.86
  4. Step 4: Simplify right side
    12,550.20x = 135,856,856.23
  5. Step 5: Solve for x
    x = 135,856,856.23/12,550.20
  6. Step 6: Final answer
    x = 10,825.07

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