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Finding the Fourth Proportional to 6,645.70, 9,169.41 and 4,285

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Solution

The fourth proportional to 6,645.70, 9,169.41 and 4,285 is: 5,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.70 : 9,169.41 = 4,285 : x
  2. Step 2: Convert to fraction form
    6,645.70/9,169.41 = 4,285/x
  3. Step 3: Cross multiply
    6,645.70x = 9,169.41 × 4,285
  4. Step 4: Simplify right side
    6,645.70x = 39,290,921.85
  5. Step 5: Solve for x
    x = 39,290,921.85/6,645.70
  6. Step 6: Final answer
    x = 5,912.23

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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.