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Finding the Fourth Proportional to 3,092.72, 4,646.68 and 1,982.61

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Solution

The fourth proportional to 3,092.72, 4,646.68 and 1,982.61 is: 2,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.72 : 4,646.68 = 1,982.61 : x
  2. Step 2: Convert to fraction form
    3,092.72/4,646.68 = 1,982.61/x
  3. Step 3: Cross multiply
    3,092.72x = 4,646.68 × 1,982.61
  4. Step 4: Simplify right side
    3,092.72x = 9,212,549.28
  5. Step 5: Solve for x
    x = 9,212,549.28/3,092.72
  6. Step 6: Final answer
    x = 2,978.79

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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.