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Finding the Fourth Proportional to 2,186.91, 3,280.37 and 726.48

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Solution

The fourth proportional to 2,186.91, 3,280.37 and 726.48 is: 1,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.91 : 3,280.37 = 726.48 : x
  2. Step 2: Convert to fraction form
    2,186.91/3,280.37 = 726.48/x
  3. Step 3: Cross multiply
    2,186.91x = 3,280.37 × 726.48
  4. Step 4: Simplify right side
    2,186.91x = 2,383,119.57
  5. Step 5: Solve for x
    x = 2,383,119.57/2,186.91
  6. Step 6: Final answer
    x = 1,089.72

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1.5x scale

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.