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Finding the Fourth Proportional to 7,696.66, 11,539.50 and 3,949.56

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Solution

The fourth proportional to 7,696.66, 11,539.50 and 3,949.56 is: 5,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.66 : 11,539.50 = 3,949.56 : x
  2. Step 2: Convert to fraction form
    7,696.66/11,539.50 = 3,949.56/x
  3. Step 3: Cross multiply
    7,696.66x = 11,539.50 × 3,949.56
  4. Step 4: Simplify right side
    7,696.66x = 45,575,947.62
  5. Step 5: Solve for x
    x = 45,575,947.62/7,696.66
  6. Step 6: Final answer
    x = 5,921.52

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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.