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Finding the Fourth Proportional to 1,261.56, 1,893.78 and 1,189.56

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Solution

The fourth proportional to 1,261.56, 1,893.78 and 1,189.56 is: 1,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.56 : 1,893.78 = 1,189.56 : x
  2. Step 2: Convert to fraction form
    1,261.56/1,893.78 = 1,189.56/x
  3. Step 3: Cross multiply
    1,261.56x = 1,893.78 × 1,189.56
  4. Step 4: Simplify right side
    1,261.56x = 2,252,764.94
  5. Step 5: Solve for x
    x = 2,252,764.94/1,261.56
  6. Step 6: Final answer
    x = 1,785.70

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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.