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Finding the Fourth Proportional to 5,706.27, 7,874.63 and 3,188.39

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Solution

The fourth proportional to 5,706.27, 7,874.63 and 3,188.39 is: 4,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.27 : 7,874.63 = 3,188.39 : x
  2. Step 2: Convert to fraction form
    5,706.27/7,874.63 = 3,188.39/x
  3. Step 3: Cross multiply
    5,706.27x = 7,874.63 × 3,188.39
  4. Step 4: Simplify right side
    5,706.27x = 25,107,336.23
  5. Step 5: Solve for x
    x = 25,107,336.23/5,706.27
  6. Step 6: Final answer
    x = 4,399.96

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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.