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Finding the Fourth Proportional to 5,313.71, 7,961.69 and 3,751.15

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Solution

The fourth proportional to 5,313.71, 7,961.69 and 3,751.15 is: 5,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.71 : 7,961.69 = 3,751.15 : x
  2. Step 2: Convert to fraction form
    5,313.71/7,961.69 = 3,751.15/x
  3. Step 3: Cross multiply
    5,313.71x = 7,961.69 × 3,751.15
  4. Step 4: Simplify right side
    5,313.71x = 29,865,493.44
  5. Step 5: Solve for x
    x = 29,865,493.44/5,313.71
  6. Step 6: Final answer
    x = 5,620.46

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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.