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Finding the Fourth Proportional to 3,591.78, 5,387.07 and 994.02

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Solution

The fourth proportional to 3,591.78, 5,387.07 and 994.02 is: 1,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.78 : 5,387.07 = 994.02 : x
  2. Step 2: Convert to fraction form
    3,591.78/5,387.07 = 994.02/x
  3. Step 3: Cross multiply
    3,591.78x = 5,387.07 × 994.02
  4. Step 4: Simplify right side
    3,591.78x = 5,354,855.32
  5. Step 5: Solve for x
    x = 5,354,855.32/3,591.78
  6. Step 6: Final answer
    x = 1,490.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.