Home / 5,233-7,849.50-1,942.28

Finding the Fourth Proportional to 5,233, 7,849.50 and 1,942.28

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Solution

The fourth proportional to 5,233, 7,849.50 and 1,942.28 is: 2,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233 : 7,849.50 = 1,942.28 : x
  2. Step 2: Convert to fraction form
    5,233/7,849.50 = 1,942.28/x
  3. Step 3: Cross multiply
    5,233x = 7,849.50 × 1,942.28
  4. Step 4: Simplify right side
    5,233x = 15,245,926.86
  5. Step 5: Solve for x
    x = 15,245,926.86/5,233
  6. Step 6: Final answer
    x = 2,913.42

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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.