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Finding the Fourth Proportional to 1,838.75, 2,756.75 and 1,108.17

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Solution

The fourth proportional to 1,838.75, 2,756.75 and 1,108.17 is: 1,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.75 : 2,756.75 = 1,108.17 : x
  2. Step 2: Convert to fraction form
    1,838.75/2,756.75 = 1,108.17/x
  3. Step 3: Cross multiply
    1,838.75x = 2,756.75 × 1,108.17
  4. Step 4: Simplify right side
    1,838.75x = 3,054,942.11
  5. Step 5: Solve for x
    x = 3,054,942.11/1,838.75
  6. Step 6: Final answer
    x = 1,661.43

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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.