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Finding the Fourth Proportional to 2,738.57, 4,107.84 and 1,007.21

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Solution

The fourth proportional to 2,738.57, 4,107.84 and 1,007.21 is: 1,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.57 : 4,107.84 = 1,007.21 : x
  2. Step 2: Convert to fraction form
    2,738.57/4,107.84 = 1,007.21/x
  3. Step 3: Cross multiply
    2,738.57x = 4,107.84 × 1,007.21
  4. Step 4: Simplify right side
    2,738.57x = 4,137,457.53
  5. Step 5: Solve for x
    x = 4,137,457.53/2,738.57
  6. Step 6: Final answer
    x = 1,510.81

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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.