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Finding the Fourth Proportional to 3,878.42, 5,351 and 2,199.69

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Solution

The fourth proportional to 3,878.42, 5,351 and 2,199.69 is: 3,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.42 : 5,351 = 2,199.69 : x
  2. Step 2: Convert to fraction form
    3,878.42/5,351 = 2,199.69/x
  3. Step 3: Cross multiply
    3,878.42x = 5,351 × 2,199.69
  4. Step 4: Simplify right side
    3,878.42x = 11,770,541.19
  5. Step 5: Solve for x
    x = 11,770,541.19/3,878.42
  6. Step 6: Final answer
    x = 3,034.88

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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.