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Finding the Fourth Proportional to 5,286.88, 7,930 and 1,391.28

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Solution

The fourth proportional to 5,286.88, 7,930 and 1,391.28 is: 2,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.88 : 7,930 = 1,391.28 : x
  2. Step 2: Convert to fraction form
    5,286.88/7,930 = 1,391.28/x
  3. Step 3: Cross multiply
    5,286.88x = 7,930 × 1,391.28
  4. Step 4: Simplify right side
    5,286.88x = 11,032,850.40
  5. Step 5: Solve for x
    x = 11,032,850.40/5,286.88
  6. Step 6: Final answer
    x = 2,086.84

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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.