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Finding the Fourth Proportional to 11,255, 16,884.48 and 3,860.24

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Solution

The fourth proportional to 11,255, 16,884.48 and 3,860.24 is: 5,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255 : 16,884.48 = 3,860.24 : x
  2. Step 2: Convert to fraction form
    11,255/16,884.48 = 3,860.24/x
  3. Step 3: Cross multiply
    11,255x = 16,884.48 × 3,860.24
  4. Step 4: Simplify right side
    11,255x = 65,178,145.08
  5. Step 5: Solve for x
    x = 65,178,145.08/11,255
  6. Step 6: Final answer
    x = 5,791.04

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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.