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Finding the Fourth Proportional to 11,586.81, 17,375.72 and 3,986.65

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Solution

The fourth proportional to 11,586.81, 17,375.72 and 3,986.65 is: 5,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.81 : 17,375.72 = 3,986.65 : x
  2. Step 2: Convert to fraction form
    11,586.81/17,375.72 = 3,986.65/x
  3. Step 3: Cross multiply
    11,586.81x = 17,375.72 × 3,986.65
  4. Step 4: Simplify right side
    11,586.81x = 69,270,941.15
  5. Step 5: Solve for x
    x = 69,270,941.15/11,586.81
  6. Step 6: Final answer
    x = 5,978.43

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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.