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Finding the Fourth Proportional to 2,166.74, 3,249.78 and 606.86

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Solution

The fourth proportional to 2,166.74, 3,249.78 and 606.86 is: 910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.74 : 3,249.78 = 606.86 : x
  2. Step 2: Convert to fraction form
    2,166.74/3,249.78 = 606.86/x
  3. Step 3: Cross multiply
    2,166.74x = 3,249.78 × 606.86
  4. Step 4: Simplify right side
    2,166.74x = 1,972,145.24
  5. Step 5: Solve for x
    x = 1,972,145.24/2,166.74
  6. Step 6: Final answer
    x = 910.19

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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.