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Finding the Fourth Proportional to 12,800, 17,664.90 and 7,211

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Solution

The fourth proportional to 12,800, 17,664.90 and 7,211 is: 9,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 17,664.90 = 7,211 : x
  2. Step 2: Convert to fraction form
    12,800/17,664.90 = 7,211/x
  3. Step 3: Cross multiply
    12,800x = 17,664.90 × 7,211
  4. Step 4: Simplify right side
    12,800x = 127,381,593.90
  5. Step 5: Solve for x
    x = 127,381,593.90/12,800
  6. Step 6: Final answer
    x = 9,951.69

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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.