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Finding the Fourth Proportional to 11,765.82, 17,642.13 and 4,749.21

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Solution

The fourth proportional to 11,765.82, 17,642.13 and 4,749.21 is: 7,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.82 : 17,642.13 = 4,749.21 : x
  2. Step 2: Convert to fraction form
    11,765.82/17,642.13 = 4,749.21/x
  3. Step 3: Cross multiply
    11,765.82x = 17,642.13 × 4,749.21
  4. Step 4: Simplify right side
    11,765.82x = 83,786,180.22
  5. Step 5: Solve for x
    x = 83,786,180.22/11,765.82
  6. Step 6: Final answer
    x = 7,121.15

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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.