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Finding the Fourth Proportional to 5,863.72, 8,091.81 and 3,211.07

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Solution

The fourth proportional to 5,863.72, 8,091.81 and 3,211.07 is: 4,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.72 : 8,091.81 = 3,211.07 : x
  2. Step 2: Convert to fraction form
    5,863.72/8,091.81 = 3,211.07/x
  3. Step 3: Cross multiply
    5,863.72x = 8,091.81 × 3,211.07
  4. Step 4: Simplify right side
    5,863.72x = 25,983,368.34
  5. Step 5: Solve for x
    x = 25,983,368.34/5,863.72
  6. Step 6: Final answer
    x = 4,431.21

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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.