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Finding the Fourth Proportional to 3,698.52, 5,107.50 and 3,171.48

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Solution

The fourth proportional to 3,698.52, 5,107.50 and 3,171.48 is: 4,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.52 : 5,107.50 = 3,171.48 : x
  2. Step 2: Convert to fraction form
    3,698.52/5,107.50 = 3,171.48/x
  3. Step 3: Cross multiply
    3,698.52x = 5,107.50 × 3,171.48
  4. Step 4: Simplify right side
    3,698.52x = 16,198,334.10
  5. Step 5: Solve for x
    x = 16,198,334.10/3,698.52
  6. Step 6: Final answer
    x = 4,379.68

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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.