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Finding the Fourth Proportional to 20,718, 31,077.09 and 6,867

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Solution

The fourth proportional to 20,718, 31,077.09 and 6,867 is: 10,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,718 : 31,077.09 = 6,867 : x
  2. Step 2: Convert to fraction form
    20,718/31,077.09 = 6,867/x
  3. Step 3: Cross multiply
    20,718x = 31,077.09 × 6,867
  4. Step 4: Simplify right side
    20,718x = 213,406,377.03
  5. Step 5: Solve for x
    x = 213,406,377.03/20,718
  6. Step 6: Final answer
    x = 10,300.53

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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.