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Finding the Fourth Proportional to 7,699.26, 11,469.44 and 7,221.18

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Solution

The fourth proportional to 7,699.26, 11,469.44 and 7,221.18 is: 10,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.26 : 11,469.44 = 7,221.18 : x
  2. Step 2: Convert to fraction form
    7,699.26/11,469.44 = 7,221.18/x
  3. Step 3: Cross multiply
    7,699.26x = 11,469.44 × 7,221.18
  4. Step 4: Simplify right side
    7,699.26x = 82,822,854.63
  5. Step 5: Solve for x
    x = 82,822,854.63/7,699.26
  6. Step 6: Final answer
    x = 10,757.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.