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Finding the Fourth Proportional to 2,163.12, 3,244.68 and 1,392

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Solution

The fourth proportional to 2,163.12, 3,244.68 and 1,392 is: 2,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.12 : 3,244.68 = 1,392 : x
  2. Step 2: Convert to fraction form
    2,163.12/3,244.68 = 1,392/x
  3. Step 3: Cross multiply
    2,163.12x = 3,244.68 × 1,392
  4. Step 4: Simplify right side
    2,163.12x = 4,516,594.56
  5. Step 5: Solve for x
    x = 4,516,594.56/2,163.12
  6. Step 6: Final answer
    x = 2,088

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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.