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Finding the Fourth Proportional to 5,271.76, 7,910.46 and 3,422.44

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Solution

The fourth proportional to 5,271.76, 7,910.46 and 3,422.44 is: 5,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.76 : 7,910.46 = 3,422.44 : x
  2. Step 2: Convert to fraction form
    5,271.76/7,910.46 = 3,422.44/x
  3. Step 3: Cross multiply
    5,271.76x = 7,910.46 × 3,422.44
  4. Step 4: Simplify right side
    5,271.76x = 27,073,074.72
  5. Step 5: Solve for x
    x = 27,073,074.72/5,271.76
  6. Step 6: Final answer
    x = 5,135.49

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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.