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Finding the Fourth Proportional to 2,596.98, 3,894.84 and 865.38

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Solution

The fourth proportional to 2,596.98, 3,894.84 and 865.38 is: 1,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.98 : 3,894.84 = 865.38 : x
  2. Step 2: Convert to fraction form
    2,596.98/3,894.84 = 865.38/x
  3. Step 3: Cross multiply
    2,596.98x = 3,894.84 × 865.38
  4. Step 4: Simplify right side
    2,596.98x = 3,370,516.64
  5. Step 5: Solve for x
    x = 3,370,516.64/2,596.98
  6. Step 6: Final answer
    x = 1,297.86

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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.