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Finding the Fourth Proportional to 3,920.91, 5,874.51 and 3,266.98

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Solution

The fourth proportional to 3,920.91, 5,874.51 and 3,266.98 is: 4,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.91 : 5,874.51 = 3,266.98 : x
  2. Step 2: Convert to fraction form
    3,920.91/5,874.51 = 3,266.98/x
  3. Step 3: Cross multiply
    3,920.91x = 5,874.51 × 3,266.98
  4. Step 4: Simplify right side
    3,920.91x = 19,191,906.68
  5. Step 5: Solve for x
    x = 19,191,906.68/3,920.91
  6. Step 6: Final answer
    x = 4,894.76

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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.