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Finding the Fourth Proportional to 5,787.90, 7,979.88 and 3,795

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Solution

The fourth proportional to 5,787.90, 7,979.88 and 3,795 is: 5,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.90 : 7,979.88 = 3,795 : x
  2. Step 2: Convert to fraction form
    5,787.90/7,979.88 = 3,795/x
  3. Step 3: Cross multiply
    5,787.90x = 7,979.88 × 3,795
  4. Step 4: Simplify right side
    5,787.90x = 30,283,644.60
  5. Step 5: Solve for x
    x = 30,283,644.60/5,787.90
  6. Step 6: Final answer
    x = 5,232.23

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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.