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Finding the Fourth Proportional to 9,187.80, 13,786.22 and 3,645.10

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Solution

The fourth proportional to 9,187.80, 13,786.22 and 3,645.10 is: 5,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.80 : 13,786.22 = 3,645.10 : x
  2. Step 2: Convert to fraction form
    9,187.80/13,786.22 = 3,645.10/x
  3. Step 3: Cross multiply
    9,187.80x = 13,786.22 × 3,645.10
  4. Step 4: Simplify right side
    9,187.80x = 50,252,150.52
  5. Step 5: Solve for x
    x = 50,252,150.52/9,187.80
  6. Step 6: Final answer
    x = 5,469.44

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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.