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Finding the Fourth Proportional to 26,864, 40,296 and 10,448

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Solution

The fourth proportional to 26,864, 40,296 and 10,448 is: 15,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,864 : 40,296 = 10,448 : x
  2. Step 2: Convert to fraction form
    26,864/40,296 = 10,448/x
  3. Step 3: Cross multiply
    26,864x = 40,296 × 10,448
  4. Step 4: Simplify right side
    26,864x = 421,012,608
  5. Step 5: Solve for x
    x = 421,012,608/26,864
  6. Step 6: Final answer
    x = 15,672

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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.