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Finding the Fourth Proportional to 5,105.46, 7,647 and 2,642.70

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Solution

The fourth proportional to 5,105.46, 7,647 and 2,642.70 is: 3,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.46 : 7,647 = 2,642.70 : x
  2. Step 2: Convert to fraction form
    5,105.46/7,647 = 2,642.70/x
  3. Step 3: Cross multiply
    5,105.46x = 7,647 × 2,642.70
  4. Step 4: Simplify right side
    5,105.46x = 20,208,726.90
  5. Step 5: Solve for x
    x = 20,208,726.90/5,105.46
  6. Step 6: Final answer
    x = 3,958.26

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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.