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Finding the Fourth Proportional to 3,832.15, 5,743.41 and 1,638.30

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Solution

The fourth proportional to 3,832.15, 5,743.41 and 1,638.30 is: 2,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.15 : 5,743.41 = 1,638.30 : x
  2. Step 2: Convert to fraction form
    3,832.15/5,743.41 = 1,638.30/x
  3. Step 3: Cross multiply
    3,832.15x = 5,743.41 × 1,638.30
  4. Step 4: Simplify right side
    3,832.15x = 9,409,428.60
  5. Step 5: Solve for x
    x = 9,409,428.60/3,832.15
  6. Step 6: Final answer
    x = 2,455.39

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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.