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Finding the Fourth Proportional to 20,224.32, 30,336.48 and 7,912

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Solution

The fourth proportional to 20,224.32, 30,336.48 and 7,912 is: 11,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.32 : 30,336.48 = 7,912 : x
  2. Step 2: Convert to fraction form
    20,224.32/30,336.48 = 7,912/x
  3. Step 3: Cross multiply
    20,224.32x = 30,336.48 × 7,912
  4. Step 4: Simplify right side
    20,224.32x = 240,022,229.76
  5. Step 5: Solve for x
    x = 240,022,229.76/20,224.32
  6. Step 6: Final answer
    x = 11,868

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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.