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Finding the Fourth Proportional to 3,412.95, 5,116.17 and 1,949.28

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Solution

The fourth proportional to 3,412.95, 5,116.17 and 1,949.28 is: 2,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.95 : 5,116.17 = 1,949.28 : x
  2. Step 2: Convert to fraction form
    3,412.95/5,116.17 = 1,949.28/x
  3. Step 3: Cross multiply
    3,412.95x = 5,116.17 × 1,949.28
  4. Step 4: Simplify right side
    3,412.95x = 9,972,847.86
  5. Step 5: Solve for x
    x = 9,972,847.86/3,412.95
  6. Step 6: Final answer
    x = 2,922.06

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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.