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Finding the Fourth Proportional to 20,192.13, 30,296.97 and 7,715.97

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Solution

The fourth proportional to 20,192.13, 30,296.97 and 7,715.97 is: 11,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.13 : 30,296.97 = 7,715.97 : x
  2. Step 2: Convert to fraction form
    20,192.13/30,296.97 = 7,715.97/x
  3. Step 3: Cross multiply
    20,192.13x = 30,296.97 × 7,715.97
  4. Step 4: Simplify right side
    20,192.13x = 233,770,511.61
  5. Step 5: Solve for x
    x = 233,770,511.61/20,192.13
  6. Step 6: Final answer
    x = 11,577.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.