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Finding the Fourth Proportional to 7,202.94, 9,942.51 and 4,219.72

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Solution

The fourth proportional to 7,202.94, 9,942.51 and 4,219.72 is: 5,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.94 : 9,942.51 = 4,219.72 : x
  2. Step 2: Convert to fraction form
    7,202.94/9,942.51 = 4,219.72/x
  3. Step 3: Cross multiply
    7,202.94x = 9,942.51 × 4,219.72
  4. Step 4: Simplify right side
    7,202.94x = 41,954,608.30
  5. Step 5: Solve for x
    x = 41,954,608.30/7,202.94
  6. Step 6: Final answer
    x = 5,824.65

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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.