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Finding the Fourth Proportional to 3,764.67, 5,647.71 and 1,684.76

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Solution

The fourth proportional to 3,764.67, 5,647.71 and 1,684.76 is: 2,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.67 : 5,647.71 = 1,684.76 : x
  2. Step 2: Convert to fraction form
    3,764.67/5,647.71 = 1,684.76/x
  3. Step 3: Cross multiply
    3,764.67x = 5,647.71 × 1,684.76
  4. Step 4: Simplify right side
    3,764.67x = 9,515,035.90
  5. Step 5: Solve for x
    x = 9,515,035.90/3,764.67
  6. Step 6: Final answer
    x = 2,527.46

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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.