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Finding the Fourth Proportional to 20,634, 30,963.75 and 8,151.90

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Solution

The fourth proportional to 20,634, 30,963.75 and 8,151.90 is: 12,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634 : 30,963.75 = 8,151.90 : x
  2. Step 2: Convert to fraction form
    20,634/30,963.75 = 8,151.90/x
  3. Step 3: Cross multiply
    20,634x = 30,963.75 × 8,151.90
  4. Step 4: Simplify right side
    20,634x = 252,413,393.63
  5. Step 5: Solve for x
    x = 252,413,393.63/20,634
  6. Step 6: Final answer
    x = 12,232.89

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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.