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Finding the Fourth Proportional to 7,183.08, 9,912.78 and 4,821.12

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Solution

The fourth proportional to 7,183.08, 9,912.78 and 4,821.12 is: 6,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.08 : 9,912.78 = 4,821.12 : x
  2. Step 2: Convert to fraction form
    7,183.08/9,912.78 = 4,821.12/x
  3. Step 3: Cross multiply
    7,183.08x = 9,912.78 × 4,821.12
  4. Step 4: Simplify right side
    7,183.08x = 47,790,701.91
  5. Step 5: Solve for x
    x = 47,790,701.91/7,183.08
  6. Step 6: Final answer
    x = 6,653.23

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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.