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Finding the Fourth Proportional to 2,369.94, 3,555 and 1,138.38

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Solution

The fourth proportional to 2,369.94, 3,555 and 1,138.38 is: 1,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.94 : 3,555 = 1,138.38 : x
  2. Step 2: Convert to fraction form
    2,369.94/3,555 = 1,138.38/x
  3. Step 3: Cross multiply
    2,369.94x = 3,555 × 1,138.38
  4. Step 4: Simplify right side
    2,369.94x = 4,046,940.90
  5. Step 5: Solve for x
    x = 4,046,940.90/2,369.94
  6. Step 6: Final answer
    x = 1,707.61

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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.