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Finding the Fourth Proportional to 5,159.82, 7,745.20 and 3,213.40

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Solution

The fourth proportional to 5,159.82, 7,745.20 and 3,213.40 is: 4,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.82 : 7,745.20 = 3,213.40 : x
  2. Step 2: Convert to fraction form
    5,159.82/7,745.20 = 3,213.40/x
  3. Step 3: Cross multiply
    5,159.82x = 7,745.20 × 3,213.40
  4. Step 4: Simplify right side
    5,159.82x = 24,888,425.68
  5. Step 5: Solve for x
    x = 24,888,425.68/5,159.82
  6. Step 6: Final answer
    x = 4,823.51

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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.