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Finding the Fourth Proportional to 2,713, 3,744.90 and 1,609

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Solution

The fourth proportional to 2,713, 3,744.90 and 1,609 is: 2,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713 : 3,744.90 = 1,609 : x
  2. Step 2: Convert to fraction form
    2,713/3,744.90 = 1,609/x
  3. Step 3: Cross multiply
    2,713x = 3,744.90 × 1,609
  4. Step 4: Simplify right side
    2,713x = 6,025,544.10
  5. Step 5: Solve for x
    x = 6,025,544.10/2,713
  6. Step 6: Final answer
    x = 2,220.99

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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.