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Finding the Fourth Proportional to 5,161.37, 7,742.03 and 2,239.61

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Solution

The fourth proportional to 5,161.37, 7,742.03 and 2,239.61 is: 3,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.37 : 7,742.03 = 2,239.61 : x
  2. Step 2: Convert to fraction form
    5,161.37/7,742.03 = 2,239.61/x
  3. Step 3: Cross multiply
    5,161.37x = 7,742.03 × 2,239.61
  4. Step 4: Simplify right side
    5,161.37x = 17,339,077.90
  5. Step 5: Solve for x
    x = 17,339,077.90/5,161.37
  6. Step 6: Final answer
    x = 3,359.40

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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.