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Finding the Fourth Proportional to 12,196.86, 16,832 and 6,891.57

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Solution

The fourth proportional to 12,196.86, 16,832 and 6,891.57 is: 9,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.86 : 16,832 = 6,891.57 : x
  2. Step 2: Convert to fraction form
    12,196.86/16,832 = 6,891.57/x
  3. Step 3: Cross multiply
    12,196.86x = 16,832 × 6,891.57
  4. Step 4: Simplify right side
    12,196.86x = 115,998,906.24
  5. Step 5: Solve for x
    x = 115,998,906.24/12,196.86
  6. Step 6: Final answer
    x = 9,510.55

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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.