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Finding the Fourth Proportional to 1,927.94, 2,892.26 and 773.78

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Solution

The fourth proportional to 1,927.94, 2,892.26 and 773.78 is: 1,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.94 : 2,892.26 = 773.78 : x
  2. Step 2: Convert to fraction form
    1,927.94/2,892.26 = 773.78/x
  3. Step 3: Cross multiply
    1,927.94x = 2,892.26 × 773.78
  4. Step 4: Simplify right side
    1,927.94x = 2,237,960.42
  5. Step 5: Solve for x
    x = 2,237,960.42/1,927.94
  6. Step 6: Final answer
    x = 1,160.81

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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.