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Finding the Fourth Proportional to 1,400.82, 1,932.09 and 927.87

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Solution

The fourth proportional to 1,400.82, 1,932.09 and 927.87 is: 1,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.82 : 1,932.09 = 927.87 : x
  2. Step 2: Convert to fraction form
    1,400.82/1,932.09 = 927.87/x
  3. Step 3: Cross multiply
    1,400.82x = 1,932.09 × 927.87
  4. Step 4: Simplify right side
    1,400.82x = 1,792,728.35
  5. Step 5: Solve for x
    x = 1,792,728.35/1,400.82
  6. Step 6: Final answer
    x = 1,279.77

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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.