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Finding the Fourth Proportional to 2,730.62, 3,768.10 and 1,551.66

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Solution

The fourth proportional to 2,730.62, 3,768.10 and 1,551.66 is: 2,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.62 : 3,768.10 = 1,551.66 : x
  2. Step 2: Convert to fraction form
    2,730.62/3,768.10 = 1,551.66/x
  3. Step 3: Cross multiply
    2,730.62x = 3,768.10 × 1,551.66
  4. Step 4: Simplify right side
    2,730.62x = 5,846,810.05
  5. Step 5: Solve for x
    x = 5,846,810.05/2,730.62
  6. Step 6: Final answer
    x = 2,141.20

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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.