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Finding the Fourth Proportional to 5,115.40, 7,667.48 and 2,919.28

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Solution

The fourth proportional to 5,115.40, 7,667.48 and 2,919.28 is: 4,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.40 : 7,667.48 = 2,919.28 : x
  2. Step 2: Convert to fraction form
    5,115.40/7,667.48 = 2,919.28/x
  3. Step 3: Cross multiply
    5,115.40x = 7,667.48 × 2,919.28
  4. Step 4: Simplify right side
    5,115.40x = 22,383,521.01
  5. Step 5: Solve for x
    x = 22,383,521.01/5,115.40
  6. Step 6: Final answer
    x = 4,375.71

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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.