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Finding the Fourth Proportional to 20,305.28, 30,453.74 and 7,821.02

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Solution

The fourth proportional to 20,305.28, 30,453.74 and 7,821.02 is: 11,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.28 : 30,453.74 = 7,821.02 : x
  2. Step 2: Convert to fraction form
    20,305.28/30,453.74 = 7,821.02/x
  3. Step 3: Cross multiply
    20,305.28x = 30,453.74 × 7,821.02
  4. Step 4: Simplify right side
    20,305.28x = 238,179,309.61
  5. Step 5: Solve for x
    x = 238,179,309.61/20,305.28
  6. Step 6: Final answer
    x = 11,729.92

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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.