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Finding the Fourth Proportional to 2,609.09, 3,909.08 and 2,173.14

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Solution

The fourth proportional to 2,609.09, 3,909.08 and 2,173.14 is: 3,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.09 : 3,909.08 = 2,173.14 : x
  2. Step 2: Convert to fraction form
    2,609.09/3,909.08 = 2,173.14/x
  3. Step 3: Cross multiply
    2,609.09x = 3,909.08 × 2,173.14
  4. Step 4: Simplify right side
    2,609.09x = 8,494,967.25
  5. Step 5: Solve for x
    x = 8,494,967.25/2,609.09
  6. Step 6: Final answer
    x = 3,255.91

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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.