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Finding the Fourth Proportional to 9,221.11, 13,834.90 and 3,955.91

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Solution

The fourth proportional to 9,221.11, 13,834.90 and 3,955.91 is: 5,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.11 : 13,834.90 = 3,955.91 : x
  2. Step 2: Convert to fraction form
    9,221.11/13,834.90 = 3,955.91/x
  3. Step 3: Cross multiply
    9,221.11x = 13,834.90 × 3,955.91
  4. Step 4: Simplify right side
    9,221.11x = 54,729,555.03
  5. Step 5: Solve for x
    x = 54,729,555.03/9,221.11
  6. Step 6: Final answer
    x = 5,935.25

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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.