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Finding the Fourth Proportional to 2,251.72, 3,378.38 and 1,019

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Solution

The fourth proportional to 2,251.72, 3,378.38 and 1,019 is: 1,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.72 : 3,378.38 = 1,019 : x
  2. Step 2: Convert to fraction form
    2,251.72/3,378.38 = 1,019/x
  3. Step 3: Cross multiply
    2,251.72x = 3,378.38 × 1,019
  4. Step 4: Simplify right side
    2,251.72x = 3,442,569.22
  5. Step 5: Solve for x
    x = 3,442,569.22/2,251.72
  6. Step 6: Final answer
    x = 1,528.86

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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.