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Finding the Fourth Proportional to 2,131.73, 2,940.96 and 1,334.73

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Solution

The fourth proportional to 2,131.73, 2,940.96 and 1,334.73 is: 1,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.73 : 2,940.96 = 1,334.73 : x
  2. Step 2: Convert to fraction form
    2,131.73/2,940.96 = 1,334.73/x
  3. Step 3: Cross multiply
    2,131.73x = 2,940.96 × 1,334.73
  4. Step 4: Simplify right side
    2,131.73x = 3,925,379.52
  5. Step 5: Solve for x
    x = 3,925,379.52/2,131.73
  6. Step 6: Final answer
    x = 1,841.40

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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.