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Finding the Fourth Proportional to 2,168.78, 3,246.48 and 1,647.54

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Solution

The fourth proportional to 2,168.78, 3,246.48 and 1,647.54 is: 2,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.78 : 3,246.48 = 1,647.54 : x
  2. Step 2: Convert to fraction form
    2,168.78/3,246.48 = 1,647.54/x
  3. Step 3: Cross multiply
    2,168.78x = 3,246.48 × 1,647.54
  4. Step 4: Simplify right side
    2,168.78x = 5,348,705.66
  5. Step 5: Solve for x
    x = 5,348,705.66/2,168.78
  6. Step 6: Final answer
    x = 2,466.23

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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.