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Finding the Fourth Proportional to 5,765.78, 7,956.66 and 3,213.53

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Solution

The fourth proportional to 5,765.78, 7,956.66 and 3,213.53 is: 4,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.78 : 7,956.66 = 3,213.53 : x
  2. Step 2: Convert to fraction form
    5,765.78/7,956.66 = 3,213.53/x
  3. Step 3: Cross multiply
    5,765.78x = 7,956.66 × 3,213.53
  4. Step 4: Simplify right side
    5,765.78x = 25,568,965.61
  5. Step 5: Solve for x
    x = 25,568,965.61/5,765.78
  6. Step 6: Final answer
    x = 4,434.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.