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Finding the Fourth Proportional to 26,869, 40,305.66 and 8,401

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Solution

The fourth proportional to 26,869, 40,305.66 and 8,401 is: 12,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,869 : 40,305.66 = 8,401 : x
  2. Step 2: Convert to fraction form
    26,869/40,305.66 = 8,401/x
  3. Step 3: Cross multiply
    26,869x = 40,305.66 × 8,401
  4. Step 4: Simplify right side
    26,869x = 338,607,849.66
  5. Step 5: Solve for x
    x = 338,607,849.66/26,869
  6. Step 6: Final answer
    x = 12,602.18

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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.