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Finding the Fourth Proportional to 2,744, 3,787.20 and 1,640

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Solution

The fourth proportional to 2,744, 3,787.20 and 1,640 is: 2,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744 : 3,787.20 = 1,640 : x
  2. Step 2: Convert to fraction form
    2,744/3,787.20 = 1,640/x
  3. Step 3: Cross multiply
    2,744x = 3,787.20 × 1,640
  4. Step 4: Simplify right side
    2,744x = 6,211,008
  5. Step 5: Solve for x
    x = 6,211,008/2,744
  6. Step 6: Final answer
    x = 2,263.49

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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.