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Finding the Fourth Proportional to 3,311.82, 4,969.82 and 1,851.93

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Solution

The fourth proportional to 3,311.82, 4,969.82 and 1,851.93 is: 2,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.82 : 4,969.82 = 1,851.93 : x
  2. Step 2: Convert to fraction form
    3,311.82/4,969.82 = 1,851.93/x
  3. Step 3: Cross multiply
    3,311.82x = 4,969.82 × 1,851.93
  4. Step 4: Simplify right side
    3,311.82x = 9,203,758.75
  5. Step 5: Solve for x
    x = 9,203,758.75/3,311.82
  6. Step 6: Final answer
    x = 2,779.06

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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.