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Finding the Fourth Proportional to 3,640.68, 5,456.70 and 3,208.68

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Solution

The fourth proportional to 3,640.68, 5,456.70 and 3,208.68 is: 4,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.68 : 5,456.70 = 3,208.68 : x
  2. Step 2: Convert to fraction form
    3,640.68/5,456.70 = 3,208.68/x
  3. Step 3: Cross multiply
    3,640.68x = 5,456.70 × 3,208.68
  4. Step 4: Simplify right side
    3,640.68x = 17,508,804.16
  5. Step 5: Solve for x
    x = 17,508,804.16/3,640.68
  6. Step 6: Final answer
    x = 4,809.21

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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.