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Finding the Fourth Proportional to 3,830.74, 5,286 and 2,151.88

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Solution

The fourth proportional to 3,830.74, 5,286 and 2,151.88 is: 2,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.74 : 5,286 = 2,151.88 : x
  2. Step 2: Convert to fraction form
    3,830.74/5,286 = 2,151.88/x
  3. Step 3: Cross multiply
    3,830.74x = 5,286 × 2,151.88
  4. Step 4: Simplify right side
    3,830.74x = 11,374,837.68
  5. Step 5: Solve for x
    x = 11,374,837.68/3,830.74
  6. Step 6: Final answer
    x = 2,969.36

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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.