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Finding the Fourth Proportional to 3,889.22, 5,863.15 and 3,638.66

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Solution

The fourth proportional to 3,889.22, 5,863.15 and 3,638.66 is: 5,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.22 : 5,863.15 = 3,638.66 : x
  2. Step 2: Convert to fraction form
    3,889.22/5,863.15 = 3,638.66/x
  3. Step 3: Cross multiply
    3,889.22x = 5,863.15 × 3,638.66
  4. Step 4: Simplify right side
    3,889.22x = 21,334,009.38
  5. Step 5: Solve for x
    x = 21,334,009.38/3,889.22
  6. Step 6: Final answer
    x = 5,485.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.