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Finding the Fourth Proportional to 3,967.61, 5,953.03 and 2,189.39

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Solution

The fourth proportional to 3,967.61, 5,953.03 and 2,189.39 is: 3,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.61 : 5,953.03 = 2,189.39 : x
  2. Step 2: Convert to fraction form
    3,967.61/5,953.03 = 2,189.39/x
  3. Step 3: Cross multiply
    3,967.61x = 5,953.03 × 2,189.39
  4. Step 4: Simplify right side
    3,967.61x = 13,033,469.11
  5. Step 5: Solve for x
    x = 13,033,469.11/3,967.61
  6. Step 6: Final answer
    x = 3,284.97

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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.