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Finding the Fourth Proportional to 3,984.93, 5,978.14 and 1,646.26

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Solution

The fourth proportional to 3,984.93, 5,978.14 and 1,646.26 is: 2,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.93 : 5,978.14 = 1,646.26 : x
  2. Step 2: Convert to fraction form
    3,984.93/5,978.14 = 1,646.26/x
  3. Step 3: Cross multiply
    3,984.93x = 5,978.14 × 1,646.26
  4. Step 4: Simplify right side
    3,984.93x = 9,841,553.70
  5. Step 5: Solve for x
    x = 9,841,553.70/3,984.93
  6. Step 6: Final answer
    x = 2,469.69

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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.