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Finding the Fourth Proportional to 3,874.47, 5,349.44 and 3,626.61

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Solution

The fourth proportional to 3,874.47, 5,349.44 and 3,626.61 is: 5,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.47 : 5,349.44 = 3,626.61 : x
  2. Step 2: Convert to fraction form
    3,874.47/5,349.44 = 3,626.61/x
  3. Step 3: Cross multiply
    3,874.47x = 5,349.44 × 3,626.61
  4. Step 4: Simplify right side
    3,874.47x = 19,400,321.60
  5. Step 5: Solve for x
    x = 19,400,321.60/3,874.47
  6. Step 6: Final answer
    x = 5,007.22

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1.5x scale

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.