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Finding the Fourth Proportional to 2,187.88, 3,280.59 and 726.64

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Solution

The fourth proportional to 2,187.88, 3,280.59 and 726.64 is: 1,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.88 : 3,280.59 = 726.64 : x
  2. Step 2: Convert to fraction form
    2,187.88/3,280.59 = 726.64/x
  3. Step 3: Cross multiply
    2,187.88x = 3,280.59 × 726.64
  4. Step 4: Simplify right side
    2,187.88x = 2,383,807.92
  5. Step 5: Solve for x
    x = 2,383,807.92/2,187.88
  6. Step 6: Final answer
    x = 1,089.55

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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.