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Finding the Fourth Proportional to 12,167.86, 16,774.41 and 8,629.78

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Solution

The fourth proportional to 12,167.86, 16,774.41 and 8,629.78 is: 11,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.86 : 16,774.41 = 8,629.78 : x
  2. Step 2: Convert to fraction form
    12,167.86/16,774.41 = 8,629.78/x
  3. Step 3: Cross multiply
    12,167.86x = 16,774.41 × 8,629.78
  4. Step 4: Simplify right side
    12,167.86x = 144,759,467.93
  5. Step 5: Solve for x
    x = 144,759,467.93/12,167.86
  6. Step 6: Final answer
    x = 11,896.87

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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.