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Finding the Fourth Proportional to 5,129.58, 7,696.83 and 2,789.49

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Solution

The fourth proportional to 5,129.58, 7,696.83 and 2,789.49 is: 4,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.58 : 7,696.83 = 2,789.49 : x
  2. Step 2: Convert to fraction form
    5,129.58/7,696.83 = 2,789.49/x
  3. Step 3: Cross multiply
    5,129.58x = 7,696.83 × 2,789.49
  4. Step 4: Simplify right side
    5,129.58x = 21,470,230.32
  5. Step 5: Solve for x
    x = 21,470,230.32/5,129.58
  6. Step 6: Final answer
    x = 4,185.57

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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.