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Finding the Fourth Proportional to 33,121.92, 49,681.44 and 8,160.78

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Solution

The fourth proportional to 33,121.92, 49,681.44 and 8,160.78 is: 12,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,121.92 : 49,681.44 = 8,160.78 : x
  2. Step 2: Convert to fraction form
    33,121.92/49,681.44 = 8,160.78/x
  3. Step 3: Cross multiply
    33,121.92x = 49,681.44 × 8,160.78
  4. Step 4: Simplify right side
    33,121.92x = 405,439,301.92
  5. Step 5: Solve for x
    x = 405,439,301.92/33,121.92
  6. Step 6: Final answer
    x = 12,240.82

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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.