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Finding the Fourth Proportional to 3,308.71, 4,961.43 and 1,640.91

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Solution

The fourth proportional to 3,308.71, 4,961.43 and 1,640.91 is: 2,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.71 : 4,961.43 = 1,640.91 : x
  2. Step 2: Convert to fraction form
    3,308.71/4,961.43 = 1,640.91/x
  3. Step 3: Cross multiply
    3,308.71x = 4,961.43 × 1,640.91
  4. Step 4: Simplify right side
    3,308.71x = 8,141,260.10
  5. Step 5: Solve for x
    x = 8,141,260.10/3,308.71
  6. Step 6: Final answer
    x = 2,460.55

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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.