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Finding the Fourth Proportional to 2,778.71, 4,165.02 and 1,682.78

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Solution

The fourth proportional to 2,778.71, 4,165.02 and 1,682.78 is: 2,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.71 : 4,165.02 = 1,682.78 : x
  2. Step 2: Convert to fraction form
    2,778.71/4,165.02 = 1,682.78/x
  3. Step 3: Cross multiply
    2,778.71x = 4,165.02 × 1,682.78
  4. Step 4: Simplify right side
    2,778.71x = 7,008,791.53
  5. Step 5: Solve for x
    x = 7,008,791.53/2,778.71
  6. Step 6: Final answer
    x = 2,522.32

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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.