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Finding the Fourth Proportional to 5,409.37, 7,464.93 and 3,170.80

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Solution

The fourth proportional to 5,409.37, 7,464.93 and 3,170.80 is: 4,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.37 : 7,464.93 = 3,170.80 : x
  2. Step 2: Convert to fraction form
    5,409.37/7,464.93 = 3,170.80/x
  3. Step 3: Cross multiply
    5,409.37x = 7,464.93 × 3,170.80
  4. Step 4: Simplify right side
    5,409.37x = 23,669,782.25
  5. Step 5: Solve for x
    x = 23,669,782.25/5,409.37
  6. Step 6: Final answer
    x = 4,375.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.