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Finding the Fourth Proportional to 20,995, 31,496.82 and 8,683

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Solution

The fourth proportional to 20,995, 31,496.82 and 8,683 is: 13,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,995 : 31,496.82 = 8,683 : x
  2. Step 2: Convert to fraction form
    20,995/31,496.82 = 8,683/x
  3. Step 3: Cross multiply
    20,995x = 31,496.82 × 8,683
  4. Step 4: Simplify right side
    20,995x = 273,486,888.06
  5. Step 5: Solve for x
    x = 273,486,888.06/20,995
  6. Step 6: Final answer
    x = 13,026.29

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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.