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Finding the Fourth Proportional to 5,286.70, 7,919.28 and 2,504.94

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Solution

The fourth proportional to 5,286.70, 7,919.28 and 2,504.94 is: 3,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.70 : 7,919.28 = 2,504.94 : x
  2. Step 2: Convert to fraction form
    5,286.70/7,919.28 = 2,504.94/x
  3. Step 3: Cross multiply
    5,286.70x = 7,919.28 × 2,504.94
  4. Step 4: Simplify right side
    5,286.70x = 19,837,321.24
  5. Step 5: Solve for x
    x = 19,837,321.24/5,286.70
  6. Step 6: Final answer
    x = 3,752.31

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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.