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Finding the Fourth Proportional to 11,839, 16,339.98 and 6,871

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Solution

The fourth proportional to 11,839, 16,339.98 and 6,871 is: 9,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839 : 16,339.98 = 6,871 : x
  2. Step 2: Convert to fraction form
    11,839/16,339.98 = 6,871/x
  3. Step 3: Cross multiply
    11,839x = 16,339.98 × 6,871
  4. Step 4: Simplify right side
    11,839x = 112,272,002.58
  5. Step 5: Solve for x
    x = 112,272,002.58/11,839
  6. Step 6: Final answer
    x = 9,483.23

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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.