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Finding the Fourth Proportional to 5,768.72, 8,639.21 and 3,914.23

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Solution

The fourth proportional to 5,768.72, 8,639.21 and 3,914.23 is: 5,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.72 : 8,639.21 = 3,914.23 : x
  2. Step 2: Convert to fraction form
    5,768.72/8,639.21 = 3,914.23/x
  3. Step 3: Cross multiply
    5,768.72x = 8,639.21 × 3,914.23
  4. Step 4: Simplify right side
    5,768.72x = 33,815,792.19
  5. Step 5: Solve for x
    x = 33,815,792.19/5,768.72
  6. Step 6: Final answer
    x = 5,861.92

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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.