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Finding the Fourth Proportional to 6,401.79, 9,604.40 and 2,019.33

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Solution

The fourth proportional to 6,401.79, 9,604.40 and 2,019.33 is: 3,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.79 : 9,604.40 = 2,019.33 : x
  2. Step 2: Convert to fraction form
    6,401.79/9,604.40 = 2,019.33/x
  3. Step 3: Cross multiply
    6,401.79x = 9,604.40 × 2,019.33
  4. Step 4: Simplify right side
    6,401.79x = 19,394,442.96
  5. Step 5: Solve for x
    x = 19,394,442.96/6,401.79
  6. Step 6: Final answer
    x = 3,029.53

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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.