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Finding the Fourth Proportional to 5,286.48, 7,921.22 and 3,442.11

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Solution

The fourth proportional to 5,286.48, 7,921.22 and 3,442.11 is: 5,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.48 : 7,921.22 = 3,442.11 : x
  2. Step 2: Convert to fraction form
    5,286.48/7,921.22 = 3,442.11/x
  3. Step 3: Cross multiply
    5,286.48x = 7,921.22 × 3,442.11
  4. Step 4: Simplify right side
    5,286.48x = 27,265,693.36
  5. Step 5: Solve for x
    x = 27,265,693.36/5,286.48
  6. Step 6: Final answer
    x = 5,157.63

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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.