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Finding the Fourth Proportional to 3,889.81, 5,832.49 and 2,658.75

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Solution

The fourth proportional to 3,889.81, 5,832.49 and 2,658.75 is: 3,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.81 : 5,832.49 = 2,658.75 : x
  2. Step 2: Convert to fraction form
    3,889.81/5,832.49 = 2,658.75/x
  3. Step 3: Cross multiply
    3,889.81x = 5,832.49 × 2,658.75
  4. Step 4: Simplify right side
    3,889.81x = 15,507,104.27
  5. Step 5: Solve for x
    x = 15,507,104.27/3,889.81
  6. Step 6: Final answer
    x = 3,986.60

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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.