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Finding the Fourth Proportional to 3,694.32, 5,509.44 and 3,150

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Solution

The fourth proportional to 3,694.32, 5,509.44 and 3,150 is: 4,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.32 : 5,509.44 = 3,150 : x
  2. Step 2: Convert to fraction form
    3,694.32/5,509.44 = 3,150/x
  3. Step 3: Cross multiply
    3,694.32x = 5,509.44 × 3,150
  4. Step 4: Simplify right side
    3,694.32x = 17,354,736
  5. Step 5: Solve for x
    x = 17,354,736/3,694.32
  6. Step 6: Final answer
    x = 4,697.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.