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Finding the Fourth Proportional to 33,230.40, 49,845.60 and 11,047.20

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Solution

The fourth proportional to 33,230.40, 49,845.60 and 11,047.20 is: 16,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.40 : 49,845.60 = 11,047.20 : x
  2. Step 2: Convert to fraction form
    33,230.40/49,845.60 = 11,047.20/x
  3. Step 3: Cross multiply
    33,230.40x = 49,845.60 × 11,047.20
  4. Step 4: Simplify right side
    33,230.40x = 550,654,312.32
  5. Step 5: Solve for x
    x = 550,654,312.32/33,230.40
  6. Step 6: Final answer
    x = 16,570.80

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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.