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Finding the Fourth Proportional to 3,169.62, 4,749.78 and 1,785.63

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Solution

The fourth proportional to 3,169.62, 4,749.78 and 1,785.63 is: 2,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.62 : 4,749.78 = 1,785.63 : x
  2. Step 2: Convert to fraction form
    3,169.62/4,749.78 = 1,785.63/x
  3. Step 3: Cross multiply
    3,169.62x = 4,749.78 × 1,785.63
  4. Step 4: Simplify right side
    3,169.62x = 8,481,349.66
  5. Step 5: Solve for x
    x = 8,481,349.66/3,169.62
  6. Step 6: Final answer
    x = 2,675.83

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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.