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Finding the Fourth Proportional to 4,108.69, 6,163.02 and 1,916.20

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Solution

The fourth proportional to 4,108.69, 6,163.02 and 1,916.20 is: 2,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.69 : 6,163.02 = 1,916.20 : x
  2. Step 2: Convert to fraction form
    4,108.69/6,163.02 = 1,916.20/x
  3. Step 3: Cross multiply
    4,108.69x = 6,163.02 × 1,916.20
  4. Step 4: Simplify right side
    4,108.69x = 11,809,578.92
  5. Step 5: Solve for x
    x = 11,809,578.92/4,108.69
  6. Step 6: Final answer
    x = 2,874.29

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1.5x scale

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.