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Finding the Fourth Proportional to 20,723, 31,089.42 and 6,872

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Solution

The fourth proportional to 20,723, 31,089.42 and 6,872 is: 10,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723 : 31,089.42 = 6,872 : x
  2. Step 2: Convert to fraction form
    20,723/31,089.42 = 6,872/x
  3. Step 3: Cross multiply
    20,723x = 31,089.42 × 6,872
  4. Step 4: Simplify right side
    20,723x = 213,646,494.24
  5. Step 5: Solve for x
    x = 213,646,494.24/20,723
  6. Step 6: Final answer
    x = 10,309.63

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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.