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Finding the Fourth Proportional to 26,917, 40,381.98 and 8,449

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Solution

The fourth proportional to 26,917, 40,381.98 and 8,449 is: 12,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,917 : 40,381.98 = 8,449 : x
  2. Step 2: Convert to fraction form
    26,917/40,381.98 = 8,449/x
  3. Step 3: Cross multiply
    26,917x = 40,381.98 × 8,449
  4. Step 4: Simplify right side
    26,917x = 341,187,349.02
  5. Step 5: Solve for x
    x = 341,187,349.02/26,917
  6. Step 6: Final answer
    x = 12,675.53

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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.