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Finding the Fourth Proportional to 2,596.38, 3,894.57 and 2,138.55

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Solution

The fourth proportional to 2,596.38, 3,894.57 and 2,138.55 is: 3,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.38 : 3,894.57 = 2,138.55 : x
  2. Step 2: Convert to fraction form
    2,596.38/3,894.57 = 2,138.55/x
  3. Step 3: Cross multiply
    2,596.38x = 3,894.57 × 2,138.55
  4. Step 4: Simplify right side
    2,596.38x = 8,328,732.67
  5. Step 5: Solve for x
    x = 8,328,732.67/2,596.38
  6. Step 6: Final answer
    x = 3,207.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.