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Finding the Fourth Proportional to 9,189.65, 13,789.03 and 3,642.87

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Solution

The fourth proportional to 9,189.65, 13,789.03 and 3,642.87 is: 5,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.65 : 13,789.03 = 3,642.87 : x
  2. Step 2: Convert to fraction form
    9,189.65/13,789.03 = 3,642.87/x
  3. Step 3: Cross multiply
    9,189.65x = 13,789.03 × 3,642.87
  4. Step 4: Simplify right side
    9,189.65x = 50,231,634.61
  5. Step 5: Solve for x
    x = 50,231,634.61/9,189.65
  6. Step 6: Final answer
    x = 5,466.11

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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.