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Finding the Fourth Proportional to 26,267, 39,407 and 7,799

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Solution

The fourth proportional to 26,267, 39,407 and 7,799 is: 11,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,267 : 39,407 = 7,799 : x
  2. Step 2: Convert to fraction form
    26,267/39,407 = 7,799/x
  3. Step 3: Cross multiply
    26,267x = 39,407 × 7,799
  4. Step 4: Simplify right side
    26,267x = 307,335,193
  5. Step 5: Solve for x
    x = 307,335,193/26,267
  6. Step 6: Final answer
    x = 11,700.43

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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.