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Finding the Fourth Proportional to 21,744, 29,781.88 and 20,467.34

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Solution

The fourth proportional to 21,744, 29,781.88 and 20,467.34 is: 28,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744 : 29,781.88 = 20,467.34 : x
  2. Step 2: Convert to fraction form
    21,744/29,781.88 = 20,467.34/x
  3. Step 3: Cross multiply
    21,744x = 29,781.88 × 20,467.34
  4. Step 4: Simplify right side
    21,744x = 609,555,663.72
  5. Step 5: Solve for x
    x = 609,555,663.72/21,744
  6. Step 6: Final answer
    x = 28,033.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.