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Finding the Fourth Proportional to 3,954.72, 5,922.36 and 3,169.20

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Solution

The fourth proportional to 3,954.72, 5,922.36 and 3,169.20 is: 4,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.72 : 5,922.36 = 3,169.20 : x
  2. Step 2: Convert to fraction form
    3,954.72/5,922.36 = 3,169.20/x
  3. Step 3: Cross multiply
    3,954.72x = 5,922.36 × 3,169.20
  4. Step 4: Simplify right side
    3,954.72x = 18,769,143.31
  5. Step 5: Solve for x
    x = 18,769,143.31/3,954.72
  6. Step 6: Final answer
    x = 4,746.01

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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.