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Finding the Fourth Proportional to 5,229.62, 7,843.82 and 1,942.77

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Solution

The fourth proportional to 5,229.62, 7,843.82 and 1,942.77 is: 2,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.62 : 7,843.82 = 1,942.77 : x
  2. Step 2: Convert to fraction form
    5,229.62/7,843.82 = 1,942.77/x
  3. Step 3: Cross multiply
    5,229.62x = 7,843.82 × 1,942.77
  4. Step 4: Simplify right side
    5,229.62x = 15,238,728.47
  5. Step 5: Solve for x
    x = 15,238,728.47/5,229.62
  6. Step 6: Final answer
    x = 2,913.93

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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.