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Finding the Fourth Proportional to 1,838.26, 2,757.72 and 742.33

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Solution

The fourth proportional to 1,838.26, 2,757.72 and 742.33 is: 1,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.26 : 2,757.72 = 742.33 : x
  2. Step 2: Convert to fraction form
    1,838.26/2,757.72 = 742.33/x
  3. Step 3: Cross multiply
    1,838.26x = 2,757.72 × 742.33
  4. Step 4: Simplify right side
    1,838.26x = 2,047,124.50
  5. Step 5: Solve for x
    x = 2,047,124.50/1,838.26
  6. Step 6: Final answer
    x = 1,113.62

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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.