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Finding the Fourth Proportional to 12,000.80, 16,561.42 and 6,696.66

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Solution

The fourth proportional to 12,000.80, 16,561.42 and 6,696.66 is: 9,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.80 : 16,561.42 = 6,696.66 : x
  2. Step 2: Convert to fraction form
    12,000.80/16,561.42 = 6,696.66/x
  3. Step 3: Cross multiply
    12,000.80x = 16,561.42 × 6,696.66
  4. Step 4: Simplify right side
    12,000.80x = 110,906,198.86
  5. Step 5: Solve for x
    x = 110,906,198.86/12,000.80
  6. Step 6: Final answer
    x = 9,241.57

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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.