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Finding the Fourth Proportional to 3,419.46, 5,129.19 and 822.40

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Solution

The fourth proportional to 3,419.46, 5,129.19 and 822.40 is: 1,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.46 : 5,129.19 = 822.40 : x
  2. Step 2: Convert to fraction form
    3,419.46/5,129.19 = 822.40/x
  3. Step 3: Cross multiply
    3,419.46x = 5,129.19 × 822.40
  4. Step 4: Simplify right side
    3,419.46x = 4,218,233.03
  5. Step 5: Solve for x
    x = 4,218,233.03/3,419.46
  6. Step 6: Final answer
    x = 1,233.60

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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.