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Finding the Fourth Proportional to 7,243.78, 10,865.77 and 2,049.65

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Solution

The fourth proportional to 7,243.78, 10,865.77 and 2,049.65 is: 3,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.78 : 10,865.77 = 2,049.65 : x
  2. Step 2: Convert to fraction form
    7,243.78/10,865.77 = 2,049.65/x
  3. Step 3: Cross multiply
    7,243.78x = 10,865.77 × 2,049.65
  4. Step 4: Simplify right side
    7,243.78x = 22,271,073.66
  5. Step 5: Solve for x
    x = 22,271,073.66/7,243.78
  6. Step 6: Final answer
    x = 3,074.51

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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.