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Finding the Fourth Proportional to 5,199.78, 7,803.04 and 2,733.86

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Solution

The fourth proportional to 5,199.78, 7,803.04 and 2,733.86 is: 4,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.78 : 7,803.04 = 2,733.86 : x
  2. Step 2: Convert to fraction form
    5,199.78/7,803.04 = 2,733.86/x
  3. Step 3: Cross multiply
    5,199.78x = 7,803.04 × 2,733.86
  4. Step 4: Simplify right side
    5,199.78x = 21,332,418.93
  5. Step 5: Solve for x
    x = 21,332,418.93/5,199.78
  6. Step 6: Final answer
    x = 4,102.56

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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.