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Finding the Fourth Proportional to 19,722.80, 27,216.80 and 11,760.96

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Solution

The fourth proportional to 19,722.80, 27,216.80 and 11,760.96 is: 16,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.80 : 27,216.80 = 11,760.96 : x
  2. Step 2: Convert to fraction form
    19,722.80/27,216.80 = 11,760.96/x
  3. Step 3: Cross multiply
    19,722.80x = 27,216.80 × 11,760.96
  4. Step 4: Simplify right side
    19,722.80x = 320,095,696.13
  5. Step 5: Solve for x
    x = 320,095,696.13/19,722.80
  6. Step 6: Final answer
    x = 16,229.73

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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.