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Finding the Fourth Proportional to 7,749.39, 11,624.22 and 7,147.56

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Solution

The fourth proportional to 7,749.39, 11,624.22 and 7,147.56 is: 10,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.39 : 11,624.22 = 7,147.56 : x
  2. Step 2: Convert to fraction form
    7,749.39/11,624.22 = 7,147.56/x
  3. Step 3: Cross multiply
    7,749.39x = 11,624.22 × 7,147.56
  4. Step 4: Simplify right side
    7,749.39x = 83,084,809.90
  5. Step 5: Solve for x
    x = 83,084,809.90/7,749.39
  6. Step 6: Final answer
    x = 10,721.46

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Similar ratio
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1.5x scale

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.