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Finding the Fourth Proportional to 21,226.36, 31,839.18 and 7,375

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Solution

The fourth proportional to 21,226.36, 31,839.18 and 7,375 is: 11,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,226.36 : 31,839.18 = 7,375 : x
  2. Step 2: Convert to fraction form
    21,226.36/31,839.18 = 7,375/x
  3. Step 3: Cross multiply
    21,226.36x = 31,839.18 × 7,375
  4. Step 4: Simplify right side
    21,226.36x = 234,813,952.50
  5. Step 5: Solve for x
    x = 234,813,952.50/21,226.36
  6. Step 6: Final answer
    x = 11,062.37

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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.