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Finding the Fourth Proportional to 3,832.42, 5,746.74 and 1,639.90

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Solution

The fourth proportional to 3,832.42, 5,746.74 and 1,639.90 is: 2,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.42 : 5,746.74 = 1,639.90 : x
  2. Step 2: Convert to fraction form
    3,832.42/5,746.74 = 1,639.90/x
  3. Step 3: Cross multiply
    3,832.42x = 5,746.74 × 1,639.90
  4. Step 4: Simplify right side
    3,832.42x = 9,424,078.93
  5. Step 5: Solve for x
    x = 9,424,078.93/3,832.42
  6. Step 6: Final answer
    x = 2,459.04

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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.