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Finding the Fourth Proportional to 12,436, 17,161.68 and 6,847

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Solution

The fourth proportional to 12,436, 17,161.68 and 6,847 is: 9,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436 : 17,161.68 = 6,847 : x
  2. Step 2: Convert to fraction form
    12,436/17,161.68 = 6,847/x
  3. Step 3: Cross multiply
    12,436x = 17,161.68 × 6,847
  4. Step 4: Simplify right side
    12,436x = 117,506,022.96
  5. Step 5: Solve for x
    x = 117,506,022.96/12,436
  6. Step 6: Final answer
    x = 9,448.86

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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.