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Finding the Fourth Proportional to 5,322.56, 7,980.38 and 2,201.72

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Solution

The fourth proportional to 5,322.56, 7,980.38 and 2,201.72 is: 3,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.56 : 7,980.38 = 2,201.72 : x
  2. Step 2: Convert to fraction form
    5,322.56/7,980.38 = 2,201.72/x
  3. Step 3: Cross multiply
    5,322.56x = 7,980.38 × 2,201.72
  4. Step 4: Simplify right side
    5,322.56x = 17,570,562.25
  5. Step 5: Solve for x
    x = 17,570,562.25/5,322.56
  6. Step 6: Final answer
    x = 3,301.15

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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.