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Finding the Fourth Proportional to 5,719.21, 7,892.64 and 3,201.26

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Solution

The fourth proportional to 5,719.21, 7,892.64 and 3,201.26 is: 4,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.21 : 7,892.64 = 3,201.26 : x
  2. Step 2: Convert to fraction form
    5,719.21/7,892.64 = 3,201.26/x
  3. Step 3: Cross multiply
    5,719.21x = 7,892.64 × 3,201.26
  4. Step 4: Simplify right side
    5,719.21x = 25,266,353.26
  5. Step 5: Solve for x
    x = 25,266,353.26/5,719.21
  6. Step 6: Final answer
    x = 4,417.81

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Why These Related Problems?

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