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Finding the Fourth Proportional to 2,201.70, 3,308.22 and 1,659

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Solution

The fourth proportional to 2,201.70, 3,308.22 and 1,659 is: 2,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.70 : 3,308.22 = 1,659 : x
  2. Step 2: Convert to fraction form
    2,201.70/3,308.22 = 1,659/x
  3. Step 3: Cross multiply
    2,201.70x = 3,308.22 × 1,659
  4. Step 4: Simplify right side
    2,201.70x = 5,488,336.98
  5. Step 5: Solve for x
    x = 5,488,336.98/2,201.70
  6. Step 6: Final answer
    x = 2,492.77

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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.