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Finding the Fourth Proportional to 2,891.92, 4,346.39 and 2,401.48

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Solution

The fourth proportional to 2,891.92, 4,346.39 and 2,401.48 is: 3,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.92 : 4,346.39 = 2,401.48 : x
  2. Step 2: Convert to fraction form
    2,891.92/4,346.39 = 2,401.48/x
  3. Step 3: Cross multiply
    2,891.92x = 4,346.39 × 2,401.48
  4. Step 4: Simplify right side
    2,891.92x = 10,437,745.78
  5. Step 5: Solve for x
    x = 10,437,745.78/2,891.92
  6. Step 6: Final answer
    x = 3,609.28

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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.