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Finding the Fourth Proportional to 2,864.12, 3,952.22 and 1,622.12

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Solution

The fourth proportional to 2,864.12, 3,952.22 and 1,622.12 is: 2,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.12 : 3,952.22 = 1,622.12 : x
  2. Step 2: Convert to fraction form
    2,864.12/3,952.22 = 1,622.12/x
  3. Step 3: Cross multiply
    2,864.12x = 3,952.22 × 1,622.12
  4. Step 4: Simplify right side
    2,864.12x = 6,410,975.11
  5. Step 5: Solve for x
    x = 6,410,975.11/2,864.12
  6. Step 6: Final answer
    x = 2,238.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.