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Finding the Fourth Proportional to 2,731.72, 3,771.30 and 1,737.64

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Solution

The fourth proportional to 2,731.72, 3,771.30 and 1,737.64 is: 2,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.72 : 3,771.30 = 1,737.64 : x
  2. Step 2: Convert to fraction form
    2,731.72/3,771.30 = 1,737.64/x
  3. Step 3: Cross multiply
    2,731.72x = 3,771.30 × 1,737.64
  4. Step 4: Simplify right side
    2,731.72x = 6,553,161.73
  5. Step 5: Solve for x
    x = 6,553,161.73/2,731.72
  6. Step 6: Final answer
    x = 2,398.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.