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Finding the Fourth Proportional to 33,100, 49,649.57 and 8,140.27

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Solution

The fourth proportional to 33,100, 49,649.57 and 8,140.27 is: 12,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100 : 49,649.57 = 8,140.27 : x
  2. Step 2: Convert to fraction form
    33,100/49,649.57 = 8,140.27/x
  3. Step 3: Cross multiply
    33,100x = 49,649.57 × 8,140.27
  4. Step 4: Simplify right side
    33,100x = 404,160,905.18
  5. Step 5: Solve for x
    x = 404,160,905.18/33,100
  6. Step 6: Final answer
    x = 12,210.30

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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.