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Finding the Fourth Proportional to 3,976, 5,486.04 and 2,297.14

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Solution

The fourth proportional to 3,976, 5,486.04 and 2,297.14 is: 3,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976 : 5,486.04 = 2,297.14 : x
  2. Step 2: Convert to fraction form
    3,976/5,486.04 = 2,297.14/x
  3. Step 3: Cross multiply
    3,976x = 5,486.04 × 2,297.14
  4. Step 4: Simplify right side
    3,976x = 12,602,201.93
  5. Step 5: Solve for x
    x = 12,602,201.93/3,976
  6. Step 6: Final answer
    x = 3,169.57

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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.