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Finding the Fourth Proportional to 3,601.22, 4,969 and 2,109.20

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Solution

The fourth proportional to 3,601.22, 4,969 and 2,109.20 is: 2,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.22 : 4,969 = 2,109.20 : x
  2. Step 2: Convert to fraction form
    3,601.22/4,969 = 2,109.20/x
  3. Step 3: Cross multiply
    3,601.22x = 4,969 × 2,109.20
  4. Step 4: Simplify right side
    3,601.22x = 10,480,614.80
  5. Step 5: Solve for x
    x = 10,480,614.80/3,601.22
  6. Step 6: Final answer
    x = 2,910.30

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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.