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Finding the Fourth Proportional to 21,028.62, 31,542 and 5,233.32

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Solution

The fourth proportional to 21,028.62, 31,542 and 5,233.32 is: 7,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,028.62 : 31,542 = 5,233.32 : x
  2. Step 2: Convert to fraction form
    21,028.62/31,542 = 5,233.32/x
  3. Step 3: Cross multiply
    21,028.62x = 31,542 × 5,233.32
  4. Step 4: Simplify right side
    21,028.62x = 165,069,379.44
  5. Step 5: Solve for x
    x = 165,069,379.44/21,028.62
  6. Step 6: Final answer
    x = 7,849.75

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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.