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Finding the Fourth Proportional to 3,853.38, 5,764.87 and 2,969.19

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Solution

The fourth proportional to 3,853.38, 5,764.87 and 2,969.19 is: 4,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.38 : 5,764.87 = 2,969.19 : x
  2. Step 2: Convert to fraction form
    3,853.38/5,764.87 = 2,969.19/x
  3. Step 3: Cross multiply
    3,853.38x = 5,764.87 × 2,969.19
  4. Step 4: Simplify right side
    3,853.38x = 17,116,950.69
  5. Step 5: Solve for x
    x = 17,116,950.69/3,853.38
  6. Step 6: Final answer
    x = 4,442.06

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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.