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Finding the Fourth Proportional to 5,100, 7,049.79 and 4,255.80

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Solution

The fourth proportional to 5,100, 7,049.79 and 4,255.80 is: 5,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 7,049.79 = 4,255.80 : x
  2. Step 2: Convert to fraction form
    5,100/7,049.79 = 4,255.80/x
  3. Step 3: Cross multiply
    5,100x = 7,049.79 × 4,255.80
  4. Step 4: Simplify right side
    5,100x = 30,002,496.28
  5. Step 5: Solve for x
    x = 30,002,496.28/5,100
  6. Step 6: Final answer
    x = 5,882.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.