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Finding the Fourth Proportional to 2,268.72, 3,132 and 1,940.67

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Solution

The fourth proportional to 2,268.72, 3,132 and 1,940.67 is: 2,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.72 : 3,132 = 1,940.67 : x
  2. Step 2: Convert to fraction form
    2,268.72/3,132 = 1,940.67/x
  3. Step 3: Cross multiply
    2,268.72x = 3,132 × 1,940.67
  4. Step 4: Simplify right side
    2,268.72x = 6,078,178.44
  5. Step 5: Solve for x
    x = 6,078,178.44/2,268.72
  6. Step 6: Final answer
    x = 2,679.12

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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.