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Finding the Fourth Proportional to 3,678.52, 5,076.24 and 1,999.88

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Solution

The fourth proportional to 3,678.52, 5,076.24 and 1,999.88 is: 2,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.52 : 5,076.24 = 1,999.88 : x
  2. Step 2: Convert to fraction form
    3,678.52/5,076.24 = 1,999.88/x
  3. Step 3: Cross multiply
    3,678.52x = 5,076.24 × 1,999.88
  4. Step 4: Simplify right side
    3,678.52x = 10,151,891.04
  5. Step 5: Solve for x
    x = 10,151,891.04/3,678.52
  6. Step 6: Final answer
    x = 2,759.78

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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.