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Finding the Fourth Proportional to 3,334.66, 5,009.28 and 1,690.78

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Solution

The fourth proportional to 3,334.66, 5,009.28 and 1,690.78 is: 2,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.66 : 5,009.28 = 1,690.78 : x
  2. Step 2: Convert to fraction form
    3,334.66/5,009.28 = 1,690.78/x
  3. Step 3: Cross multiply
    3,334.66x = 5,009.28 × 1,690.78
  4. Step 4: Simplify right side
    3,334.66x = 8,469,590.44
  5. Step 5: Solve for x
    x = 8,469,590.44/3,334.66
  6. Step 6: Final answer
    x = 2,539.87

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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.