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Finding the Fourth Proportional to 7,761.35, 11,609.39 and 6,543

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Solution

The fourth proportional to 7,761.35, 11,609.39 and 6,543 is: 9,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.35 : 11,609.39 = 6,543 : x
  2. Step 2: Convert to fraction form
    7,761.35/11,609.39 = 6,543/x
  3. Step 3: Cross multiply
    7,761.35x = 11,609.39 × 6,543
  4. Step 4: Simplify right side
    7,761.35x = 75,960,255.13
  5. Step 5: Solve for x
    x = 75,960,255.13/7,761.35
  6. Step 6: Final answer
    x = 9,786.99

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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.