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Finding the Fourth Proportional to 5,171.54, 7,764.60 and 3,709.90

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Solution

The fourth proportional to 5,171.54, 7,764.60 and 3,709.90 is: 5,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.54 : 7,764.60 = 3,709.90 : x
  2. Step 2: Convert to fraction form
    5,171.54/7,764.60 = 3,709.90/x
  3. Step 3: Cross multiply
    5,171.54x = 7,764.60 × 3,709.90
  4. Step 4: Simplify right side
    5,171.54x = 28,805,850.72
  5. Step 5: Solve for x
    x = 28,805,850.72/5,171.54
  6. Step 6: Final answer
    x = 5,570.07

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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.