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Finding the Fourth Proportional to 27,208.44, 40,809.78 and 8,739

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Solution

The fourth proportional to 27,208.44, 40,809.78 and 8,739 is: 13,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.44 : 40,809.78 = 8,739 : x
  2. Step 2: Convert to fraction form
    27,208.44/40,809.78 = 8,739/x
  3. Step 3: Cross multiply
    27,208.44x = 40,809.78 × 8,739
  4. Step 4: Simplify right side
    27,208.44x = 356,636,667.42
  5. Step 5: Solve for x
    x = 356,636,667.42/27,208.44
  6. Step 6: Final answer
    x = 13,107.57

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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.