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Finding the Fourth Proportional to 5,195.90, 7,787.96 and 1,862.61

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Solution

The fourth proportional to 5,195.90, 7,787.96 and 1,862.61 is: 2,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.90 : 7,787.96 = 1,862.61 : x
  2. Step 2: Convert to fraction form
    5,195.90/7,787.96 = 1,862.61/x
  3. Step 3: Cross multiply
    5,195.90x = 7,787.96 × 1,862.61
  4. Step 4: Simplify right side
    5,195.90x = 14,505,932.18
  5. Step 5: Solve for x
    x = 14,505,932.18/5,195.90
  6. Step 6: Final answer
    x = 2,791.80

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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.