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Finding the Fourth Proportional to 26,866, 40,301.16 and 8,398

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Solution

The fourth proportional to 26,866, 40,301.16 and 8,398 is: 12,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,866 : 40,301.16 = 8,398 : x
  2. Step 2: Convert to fraction form
    26,866/40,301.16 = 8,398/x
  3. Step 3: Cross multiply
    26,866x = 40,301.16 × 8,398
  4. Step 4: Simplify right side
    26,866x = 338,449,141.68
  5. Step 5: Solve for x
    x = 338,449,141.68/26,866
  6. Step 6: Final answer
    x = 12,597.68

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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.