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Finding the Fourth Proportional to 26,659, 39,991.74 and 8,191

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Solution

The fourth proportional to 26,659, 39,991.74 and 8,191 is: 12,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,659 : 39,991.74 = 8,191 : x
  2. Step 2: Convert to fraction form
    26,659/39,991.74 = 8,191/x
  3. Step 3: Cross multiply
    26,659x = 39,991.74 × 8,191
  4. Step 4: Simplify right side
    26,659x = 327,572,342.34
  5. Step 5: Solve for x
    x = 327,572,342.34/26,659
  6. Step 6: Final answer
    x = 12,287.50

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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.