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Finding the Fourth Proportional to 26,892.62, 40,339.78 and 8,172.82

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Solution

The fourth proportional to 26,892.62, 40,339.78 and 8,172.82 is: 12,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,892.62 : 40,339.78 = 8,172.82 : x
  2. Step 2: Convert to fraction form
    26,892.62/40,339.78 = 8,172.82/x
  3. Step 3: Cross multiply
    26,892.62x = 40,339.78 × 8,172.82
  4. Step 4: Simplify right side
    26,892.62x = 329,689,791.51
  5. Step 5: Solve for x
    x = 329,689,791.51/26,892.62
  6. Step 6: Final answer
    x = 12,259.49

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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.