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Finding the Fourth Proportional to 2,739.72, 4,108.97 and 1,644.40

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Solution

The fourth proportional to 2,739.72, 4,108.97 and 1,644.40 is: 2,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.72 : 4,108.97 = 1,644.40 : x
  2. Step 2: Convert to fraction form
    2,739.72/4,108.97 = 1,644.40/x
  3. Step 3: Cross multiply
    2,739.72x = 4,108.97 × 1,644.40
  4. Step 4: Simplify right side
    2,739.72x = 6,756,769.72
  5. Step 5: Solve for x
    x = 6,756,769.72/2,739.72
  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.