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Finding the Fourth Proportional to 3,979.52, 5,969.95 and 1,640.79

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Solution

The fourth proportional to 3,979.52, 5,969.95 and 1,640.79 is: 2,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.52 : 5,969.95 = 1,640.79 : x
  2. Step 2: Convert to fraction form
    3,979.52/5,969.95 = 1,640.79/x
  3. Step 3: Cross multiply
    3,979.52x = 5,969.95 × 1,640.79
  4. Step 4: Simplify right side
    3,979.52x = 9,795,434.26
  5. Step 5: Solve for x
    x = 9,795,434.26/3,979.52
  6. Step 6: Final answer
    x = 2,461.46

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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.