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Finding the Fourth Proportional to 1,261, 1,891.47 and 889.27

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Solution

The fourth proportional to 1,261, 1,891.47 and 889.27 is: 1,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261 : 1,891.47 = 889.27 : x
  2. Step 2: Convert to fraction form
    1,261/1,891.47 = 889.27/x
  3. Step 3: Cross multiply
    1,261x = 1,891.47 × 889.27
  4. Step 4: Simplify right side
    1,261x = 1,682,027.53
  5. Step 5: Solve for x
    x = 1,682,027.53/1,261
  6. Step 6: Final answer
    x = 1,333.88

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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.