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Finding the Fourth Proportional to 6,149.85, 8,484.24 and 3,912.96

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Solution

The fourth proportional to 6,149.85, 8,484.24 and 3,912.96 is: 5,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.85 : 8,484.24 = 3,912.96 : x
  2. Step 2: Convert to fraction form
    6,149.85/8,484.24 = 3,912.96/x
  3. Step 3: Cross multiply
    6,149.85x = 8,484.24 × 3,912.96
  4. Step 4: Simplify right side
    6,149.85x = 33,198,491.75
  5. Step 5: Solve for x
    x = 33,198,491.75/6,149.85
  6. Step 6: Final answer
    x = 5,398.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.