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Finding the Fourth Proportional to 12,640.86, 17,440.11 and 8,167.64

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Solution

The fourth proportional to 12,640.86, 17,440.11 and 8,167.64 is: 11,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.86 : 17,440.11 = 8,167.64 : x
  2. Step 2: Convert to fraction form
    12,640.86/17,440.11 = 8,167.64/x
  3. Step 3: Cross multiply
    12,640.86x = 17,440.11 × 8,167.64
  4. Step 4: Simplify right side
    12,640.86x = 142,444,452.84
  5. Step 5: Solve for x
    x = 142,444,452.84/12,640.86
  6. Step 6: Final answer
    x = 11,268.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.