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Finding the Fourth Proportional to 5,787.70, 7,986.99 and 3,135.11

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Solution

The fourth proportional to 5,787.70, 7,986.99 and 3,135.11 is: 4,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.70 : 7,986.99 = 3,135.11 : x
  2. Step 2: Convert to fraction form
    5,787.70/7,986.99 = 3,135.11/x
  3. Step 3: Cross multiply
    5,787.70x = 7,986.99 × 3,135.11
  4. Step 4: Simplify right side
    5,787.70x = 25,040,092.22
  5. Step 5: Solve for x
    x = 25,040,092.22/5,787.70
  6. Step 6: Final answer
    x = 4,326.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.