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Finding the Fourth Proportional to 5,138.25, 7,700.62 and 2,799.24

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Solution

The fourth proportional to 5,138.25, 7,700.62 and 2,799.24 is: 4,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.25 : 7,700.62 = 2,799.24 : x
  2. Step 2: Convert to fraction form
    5,138.25/7,700.62 = 2,799.24/x
  3. Step 3: Cross multiply
    5,138.25x = 7,700.62 × 2,799.24
  4. Step 4: Simplify right side
    5,138.25x = 21,555,883.53
  5. Step 5: Solve for x
    x = 21,555,883.53/5,138.25
  6. Step 6: Final answer
    x = 4,195.18

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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.