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Finding the Fourth Proportional to 33,830.72, 50,741.04 and 8,871.20

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Solution

The fourth proportional to 33,830.72, 50,741.04 and 8,871.20 is: 13,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.72 : 50,741.04 = 8,871.20 : x
  2. Step 2: Convert to fraction form
    33,830.72/50,741.04 = 8,871.20/x
  3. Step 3: Cross multiply
    33,830.72x = 50,741.04 × 8,871.20
  4. Step 4: Simplify right side
    33,830.72x = 450,133,914.05
  5. Step 5: Solve for x
    x = 450,133,914.05/33,830.72
  6. Step 6: Final answer
    x = 13,305.48

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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.