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Finding the Fourth Proportional to 5,149.11, 7,724.27 and 3,858.78

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Solution

The fourth proportional to 5,149.11, 7,724.27 and 3,858.78 is: 5,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.11 : 7,724.27 = 3,858.78 : x
  2. Step 2: Convert to fraction form
    5,149.11/7,724.27 = 3,858.78/x
  3. Step 3: Cross multiply
    5,149.11x = 7,724.27 × 3,858.78
  4. Step 4: Simplify right side
    5,149.11x = 29,806,268.24
  5. Step 5: Solve for x
    x = 29,806,268.24/5,149.11
  6. Step 6: Final answer
    x = 5,788.63

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1.5x scale

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.