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Finding the Fourth Proportional to 2,632.91, 3,967.52 and 2,180.79

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Solution

The fourth proportional to 2,632.91, 3,967.52 and 2,180.79 is: 3,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.91 : 3,967.52 = 2,180.79 : x
  2. Step 2: Convert to fraction form
    2,632.91/3,967.52 = 2,180.79/x
  3. Step 3: Cross multiply
    2,632.91x = 3,967.52 × 2,180.79
  4. Step 4: Simplify right side
    2,632.91x = 8,652,317.04
  5. Step 5: Solve for x
    x = 8,652,317.04/2,632.91
  6. Step 6: Final answer
    x = 3,286.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.