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Finding the Fourth Proportional to 21,723, 29,976.30 and 12,161.22

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Solution

The fourth proportional to 21,723, 29,976.30 and 12,161.22 is: 16,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723 : 29,976.30 = 12,161.22 : x
  2. Step 2: Convert to fraction form
    21,723/29,976.30 = 12,161.22/x
  3. Step 3: Cross multiply
    21,723x = 29,976.30 × 12,161.22
  4. Step 4: Simplify right side
    21,723x = 364,548,379.09
  5. Step 5: Solve for x
    x = 364,548,379.09/21,723
  6. Step 6: Final answer
    x = 16,781.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.