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Finding the Fourth Proportional to 11,167.78, 16,751.12 and 4,149.16

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Solution

The fourth proportional to 11,167.78, 16,751.12 and 4,149.16 is: 6,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.78 : 16,751.12 = 4,149.16 : x
  2. Step 2: Convert to fraction form
    11,167.78/16,751.12 = 4,149.16/x
  3. Step 3: Cross multiply
    11,167.78x = 16,751.12 × 4,149.16
  4. Step 4: Simplify right side
    11,167.78x = 69,503,077.06
  5. Step 5: Solve for x
    x = 69,503,077.06/11,167.78
  6. Step 6: Final answer
    x = 6,223.54

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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.