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Finding the Fourth Proportional to 11,186.64, 16,771.32 and 7,074

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Solution

The fourth proportional to 11,186.64, 16,771.32 and 7,074 is: 10,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.64 : 16,771.32 = 7,074 : x
  2. Step 2: Convert to fraction form
    11,186.64/16,771.32 = 7,074/x
  3. Step 3: Cross multiply
    11,186.64x = 16,771.32 × 7,074
  4. Step 4: Simplify right side
    11,186.64x = 118,640,317.68
  5. Step 5: Solve for x
    x = 118,640,317.68/11,186.64
  6. Step 6: Final answer
    x = 10,605.54

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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.