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Finding the Fourth Proportional to 7,174.96, 10,758.28 and 2,787.28

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Solution

The fourth proportional to 7,174.96, 10,758.28 and 2,787.28 is: 4,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.96 : 10,758.28 = 2,787.28 : x
  2. Step 2: Convert to fraction form
    7,174.96/10,758.28 = 2,787.28/x
  3. Step 3: Cross multiply
    7,174.96x = 10,758.28 × 2,787.28
  4. Step 4: Simplify right side
    7,174.96x = 29,986,338.68
  5. Step 5: Solve for x
    x = 29,986,338.68/7,174.96
  6. Step 6: Final answer
    x = 4,179.30

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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.