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Finding the Fourth Proportional to 3,803.78, 5,249.87 and 2,811.93

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Solution

The fourth proportional to 3,803.78, 5,249.87 and 2,811.93 is: 3,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.78 : 5,249.87 = 2,811.93 : x
  2. Step 2: Convert to fraction form
    3,803.78/5,249.87 = 2,811.93/x
  3. Step 3: Cross multiply
    3,803.78x = 5,249.87 × 2,811.93
  4. Step 4: Simplify right side
    3,803.78x = 14,762,252.89
  5. Step 5: Solve for x
    x = 14,762,252.89/3,803.78
  6. Step 6: Final answer
    x = 3,880.95

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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.