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Finding the Fourth Proportional to 7,205.98, 9,940.80 and 4,219.97

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Solution

The fourth proportional to 7,205.98, 9,940.80 and 4,219.97 is: 5,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.98 : 9,940.80 = 4,219.97 : x
  2. Step 2: Convert to fraction form
    7,205.98/9,940.80 = 4,219.97/x
  3. Step 3: Cross multiply
    7,205.98x = 9,940.80 × 4,219.97
  4. Step 4: Simplify right side
    7,205.98x = 41,949,877.78
  5. Step 5: Solve for x
    x = 41,949,877.78/7,205.98
  6. Step 6: Final answer
    x = 5,821.54

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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.