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Finding the Fourth Proportional to 26,581, 39,888.78 and 10,165

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Solution

The fourth proportional to 26,581, 39,888.78 and 10,165 is: 15,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,581 : 39,888.78 = 10,165 : x
  2. Step 2: Convert to fraction form
    26,581/39,888.78 = 10,165/x
  3. Step 3: Cross multiply
    26,581x = 39,888.78 × 10,165
  4. Step 4: Simplify right side
    26,581x = 405,469,448.70
  5. Step 5: Solve for x
    x = 405,469,448.70/26,581
  6. Step 6: Final answer
    x = 15,254.11

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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.