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Finding the Fourth Proportional to 3,173.76, 4,755.84 and 2,825.28

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Solution

The fourth proportional to 3,173.76, 4,755.84 and 2,825.28 is: 4,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.76 : 4,755.84 = 2,825.28 : x
  2. Step 2: Convert to fraction form
    3,173.76/4,755.84 = 2,825.28/x
  3. Step 3: Cross multiply
    3,173.76x = 4,755.84 × 2,825.28
  4. Step 4: Simplify right side
    3,173.76x = 13,436,579.64
  5. Step 5: Solve for x
    x = 13,436,579.64/3,173.76
  6. Step 6: Final answer
    x = 4,233.65

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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.