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Finding the Fourth Proportional to 5,129.64, 7,696.89 and 2,208.78

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Solution

The fourth proportional to 5,129.64, 7,696.89 and 2,208.78 is: 3,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.64 : 7,696.89 = 2,208.78 : x
  2. Step 2: Convert to fraction form
    5,129.64/7,696.89 = 2,208.78/x
  3. Step 3: Cross multiply
    5,129.64x = 7,696.89 × 2,208.78
  4. Step 4: Simplify right side
    5,129.64x = 17,000,736.69
  5. Step 5: Solve for x
    x = 17,000,736.69/5,129.64
  6. Step 6: Final answer
    x = 3,314.22

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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.