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Finding the Fourth Proportional to 7,843.79, 11,696.50 and 6,755.15

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Solution

The fourth proportional to 7,843.79, 11,696.50 and 6,755.15 is: 10,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.79 : 11,696.50 = 6,755.15 : x
  2. Step 2: Convert to fraction form
    7,843.79/11,696.50 = 6,755.15/x
  3. Step 3: Cross multiply
    7,843.79x = 11,696.50 × 6,755.15
  4. Step 4: Simplify right side
    7,843.79x = 79,011,611.66
  5. Step 5: Solve for x
    x = 79,011,611.66/7,843.79
  6. Step 6: Final answer
    x = 10,073.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.