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Finding the Fourth Proportional to 26,116, 39,169.37 and 11,881.17

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Solution

The fourth proportional to 26,116, 39,169.37 and 11,881.17 is: 17,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,116 : 39,169.37 = 11,881.17 : x
  2. Step 2: Convert to fraction form
    26,116/39,169.37 = 11,881.17/x
  3. Step 3: Cross multiply
    26,116x = 39,169.37 × 11,881.17
  4. Step 4: Simplify right side
    26,116x = 465,377,943.76
  5. Step 5: Solve for x
    x = 465,377,943.76/26,116
  6. Step 6: Final answer
    x = 17,819.65

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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.