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Finding the Fourth Proportional to 2,133.88, 3,201.12 and 672.71

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Solution

The fourth proportional to 2,133.88, 3,201.12 and 672.71 is: 1,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.88 : 3,201.12 = 672.71 : x
  2. Step 2: Convert to fraction form
    2,133.88/3,201.12 = 672.71/x
  3. Step 3: Cross multiply
    2,133.88x = 3,201.12 × 672.71
  4. Step 4: Simplify right side
    2,133.88x = 2,153,409.43
  5. Step 5: Solve for x
    x = 2,153,409.43/2,133.88
  6. Step 6: Final answer
    x = 1,009.15

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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.