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Finding the Fourth Proportional to 7,209.26, 10,817.13 and 3,917.42

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Solution

The fourth proportional to 7,209.26, 10,817.13 and 3,917.42 is: 5,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.26 : 10,817.13 = 3,917.42 : x
  2. Step 2: Convert to fraction form
    7,209.26/10,817.13 = 3,917.42/x
  3. Step 3: Cross multiply
    7,209.26x = 10,817.13 × 3,917.42
  4. Step 4: Simplify right side
    7,209.26x = 42,375,241.40
  5. Step 5: Solve for x
    x = 42,375,241.40/7,209.26
  6. Step 6: Final answer
    x = 5,877.89

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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.