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Finding the Fourth Proportional to 2,563.43, 3,838.98 and 1,739.21

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Solution

The fourth proportional to 2,563.43, 3,838.98 and 1,739.21 is: 2,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.43 : 3,838.98 = 1,739.21 : x
  2. Step 2: Convert to fraction form
    2,563.43/3,838.98 = 1,739.21/x
  3. Step 3: Cross multiply
    2,563.43x = 3,838.98 × 1,739.21
  4. Step 4: Simplify right side
    2,563.43x = 6,676,792.41
  5. Step 5: Solve for x
    x = 6,676,792.41/2,563.43
  6. Step 6: Final answer
    x = 2,604.63

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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.