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Finding the Fourth Proportional to 21,354.75, 31,992.03 and 19,743.66

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Solution

The fourth proportional to 21,354.75, 31,992.03 and 19,743.66 is: 29,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.75 : 31,992.03 = 19,743.66 : x
  2. Step 2: Convert to fraction form
    21,354.75/31,992.03 = 19,743.66/x
  3. Step 3: Cross multiply
    21,354.75x = 31,992.03 × 19,743.66
  4. Step 4: Simplify right side
    21,354.75x = 631,639,763.03
  5. Step 5: Solve for x
    x = 631,639,763.03/21,354.75
  6. Step 6: Final answer
    x = 29,578.42

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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.