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Finding the Fourth Proportional to 3,767.97, 5,647.59 and 1,426.49

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Solution

The fourth proportional to 3,767.97, 5,647.59 and 1,426.49 is: 2,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.97 : 5,647.59 = 1,426.49 : x
  2. Step 2: Convert to fraction form
    3,767.97/5,647.59 = 1,426.49/x
  3. Step 3: Cross multiply
    3,767.97x = 5,647.59 × 1,426.49
  4. Step 4: Simplify right side
    3,767.97x = 8,056,223.60
  5. Step 5: Solve for x
    x = 8,056,223.60/3,767.97
  6. Step 6: Final answer
    x = 2,138.08

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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.