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Finding the Fourth Proportional to 2,553.28, 3,827.28 and 1,396.56

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Solution

The fourth proportional to 2,553.28, 3,827.28 and 1,396.56 is: 2,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.28 : 3,827.28 = 1,396.56 : x
  2. Step 2: Convert to fraction form
    2,553.28/3,827.28 = 1,396.56/x
  3. Step 3: Cross multiply
    2,553.28x = 3,827.28 × 1,396.56
  4. Step 4: Simplify right side
    2,553.28x = 5,345,026.16
  5. Step 5: Solve for x
    x = 5,345,026.16/2,553.28
  6. Step 6: Final answer
    x = 2,093.40

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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.