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Finding the Fourth Proportional to 3,468.62, 4,791.22 and 2,807.98

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Solution

The fourth proportional to 3,468.62, 4,791.22 and 2,807.98 is: 3,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.62 : 4,791.22 = 2,807.98 : x
  2. Step 2: Convert to fraction form
    3,468.62/4,791.22 = 2,807.98/x
  3. Step 3: Cross multiply
    3,468.62x = 4,791.22 × 2,807.98
  4. Step 4: Simplify right side
    3,468.62x = 13,453,630.94
  5. Step 5: Solve for x
    x = 13,453,630.94/3,468.62
  6. Step 6: Final answer
    x = 3,878.67

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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.