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Finding the Fourth Proportional to 7,104.26, 9,803.42 and 3,917.57

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Solution

The fourth proportional to 7,104.26, 9,803.42 and 3,917.57 is: 5,405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.26 : 9,803.42 = 3,917.57 : x
  2. Step 2: Convert to fraction form
    7,104.26/9,803.42 = 3,917.57/x
  3. Step 3: Cross multiply
    7,104.26x = 9,803.42 × 3,917.57
  4. Step 4: Simplify right side
    7,104.26x = 38,405,524.67
  5. Step 5: Solve for x
    x = 38,405,524.67/7,104.26
  6. Step 6: Final answer
    x = 5,405.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.