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Finding the Fourth Proportional to 7,129.80, 10,696.50 and 5,755.62

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Solution

The fourth proportional to 7,129.80, 10,696.50 and 5,755.62 is: 8,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.80 : 10,696.50 = 5,755.62 : x
  2. Step 2: Convert to fraction form
    7,129.80/10,696.50 = 5,755.62/x
  3. Step 3: Cross multiply
    7,129.80x = 10,696.50 × 5,755.62
  4. Step 4: Simplify right side
    7,129.80x = 61,564,989.33
  5. Step 5: Solve for x
    x = 61,564,989.33/7,129.80
  6. Step 6: Final answer
    x = 8,634.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.