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Finding the Fourth Proportional to 20,633.50, 30,963 and 8,151.40

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Solution

The fourth proportional to 20,633.50, 30,963 and 8,151.40 is: 12,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.50 : 30,963 = 8,151.40 : x
  2. Step 2: Convert to fraction form
    20,633.50/30,963 = 8,151.40/x
  3. Step 3: Cross multiply
    20,633.50x = 30,963 × 8,151.40
  4. Step 4: Simplify right side
    20,633.50x = 252,391,643.39
  5. Step 5: Solve for x
    x = 252,391,643.39/20,633.50
  6. Step 6: Final answer
    x = 12,232.13

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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.