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Finding the Fourth Proportional to 2,112.88, 3,169.32 and 726.61

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Solution

The fourth proportional to 2,112.88, 3,169.32 and 726.61 is: 1,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.88 : 3,169.32 = 726.61 : x
  2. Step 2: Convert to fraction form
    2,112.88/3,169.32 = 726.61/x
  3. Step 3: Cross multiply
    2,112.88x = 3,169.32 × 726.61
  4. Step 4: Simplify right side
    2,112.88x = 2,302,859.61
  5. Step 5: Solve for x
    x = 2,302,859.61/2,112.88
  6. Step 6: Final answer
    x = 1,089.92

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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.