Home / 3,419.48-5,129.21-822.42

Finding the Fourth Proportional to 3,419.48, 5,129.21 and 822.42

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Solution

The fourth proportional to 3,419.48, 5,129.21 and 822.42 is: 1,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.48 : 5,129.21 = 822.42 : x
  2. Step 2: Convert to fraction form
    3,419.48/5,129.21 = 822.42/x
  3. Step 3: Cross multiply
    3,419.48x = 5,129.21 × 822.42
  4. Step 4: Simplify right side
    3,419.48x = 4,218,339.24
  5. Step 5: Solve for x
    x = 4,218,339.24/3,419.48
  6. Step 6: Final answer
    x = 1,233.62

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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.