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Finding the Fourth Proportional to 26,325, 39,494.34 and 7,857

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Solution

The fourth proportional to 26,325, 39,494.34 and 7,857 is: 11,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,325 : 39,494.34 = 7,857 : x
  2. Step 2: Convert to fraction form
    26,325/39,494.34 = 7,857/x
  3. Step 3: Cross multiply
    26,325x = 39,494.34 × 7,857
  4. Step 4: Simplify right side
    26,325x = 310,307,029.38
  5. Step 5: Solve for x
    x = 310,307,029.38/26,325
  6. Step 6: Final answer
    x = 11,787.54

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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.