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Finding the Fourth Proportional to 12,871, 17,761.98 and 6,983

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Solution

The fourth proportional to 12,871, 17,761.98 and 6,983 is: 9,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871 : 17,761.98 = 6,983 : x
  2. Step 2: Convert to fraction form
    12,871/17,761.98 = 6,983/x
  3. Step 3: Cross multiply
    12,871x = 17,761.98 × 6,983
  4. Step 4: Simplify right side
    12,871x = 124,031,906.34
  5. Step 5: Solve for x
    x = 124,031,906.34/12,871
  6. Step 6: Final answer
    x = 9,636.54

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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.