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Finding the Fourth Proportional to 5,168.90, 7,746.38 and 2,825.37

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Solution

The fourth proportional to 5,168.90, 7,746.38 and 2,825.37 is: 4,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.90 : 7,746.38 = 2,825.37 : x
  2. Step 2: Convert to fraction form
    5,168.90/7,746.38 = 2,825.37/x
  3. Step 3: Cross multiply
    5,168.90x = 7,746.38 × 2,825.37
  4. Step 4: Simplify right side
    5,168.90x = 21,886,375.53
  5. Step 5: Solve for x
    x = 21,886,375.53/5,168.90
  6. Step 6: Final answer
    x = 4,234.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.