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Finding the Fourth Proportional to 26,509.82, 39,770.19 and 8,979.19

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Solution

The fourth proportional to 26,509.82, 39,770.19 and 8,979.19 is: 13,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.82 : 39,770.19 = 8,979.19 : x
  2. Step 2: Convert to fraction form
    26,509.82/39,770.19 = 8,979.19/x
  3. Step 3: Cross multiply
    26,509.82x = 39,770.19 × 8,979.19
  4. Step 4: Simplify right side
    26,509.82x = 357,103,992.92
  5. Step 5: Solve for x
    x = 357,103,992.92/26,509.82
  6. Step 6: Final answer
    x = 13,470.63

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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.