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Finding the Fourth Proportional to 5,910.24, 8,857 and 3,138.22

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Solution

The fourth proportional to 5,910.24, 8,857 and 3,138.22 is: 4,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.24 : 8,857 = 3,138.22 : x
  2. Step 2: Convert to fraction form
    5,910.24/8,857 = 3,138.22/x
  3. Step 3: Cross multiply
    5,910.24x = 8,857 × 3,138.22
  4. Step 4: Simplify right side
    5,910.24x = 27,795,214.54
  5. Step 5: Solve for x
    x = 27,795,214.54/5,910.24
  6. Step 6: Final answer
    x = 4,702.89

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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.