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Finding the Fourth Proportional to 33,616.92, 50,421.54 and 8,991

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Solution

The fourth proportional to 33,616.92, 50,421.54 and 8,991 is: 13,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,616.92 : 50,421.54 = 8,991 : x
  2. Step 2: Convert to fraction form
    33,616.92/50,421.54 = 8,991/x
  3. Step 3: Cross multiply
    33,616.92x = 50,421.54 × 8,991
  4. Step 4: Simplify right side
    33,616.92x = 453,340,066.14
  5. Step 5: Solve for x
    x = 453,340,066.14/33,616.92
  6. Step 6: Final answer
    x = 13,485.47

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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.