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Finding the Fourth Proportional to 26,171, 39,266.42 and 12,137.75

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Solution

The fourth proportional to 26,171, 39,266.42 and 12,137.75 is: 18,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,171 : 39,266.42 = 12,137.75 : x
  2. Step 2: Convert to fraction form
    26,171/39,266.42 = 12,137.75/x
  3. Step 3: Cross multiply
    26,171x = 39,266.42 × 12,137.75
  4. Step 4: Simplify right side
    26,171x = 476,605,989.36
  5. Step 5: Solve for x
    x = 476,605,989.36/26,171
  6. Step 6: Final answer
    x = 18,211.23

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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.