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Finding the Fourth Proportional to 1,892.38, 2,838.78 and 505.73

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Solution

The fourth proportional to 1,892.38, 2,838.78 and 505.73 is: 758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.38 : 2,838.78 = 505.73 : x
  2. Step 2: Convert to fraction form
    1,892.38/2,838.78 = 505.73/x
  3. Step 3: Cross multiply
    1,892.38x = 2,838.78 × 505.73
  4. Step 4: Simplify right side
    1,892.38x = 1,435,656.21
  5. Step 5: Solve for x
    x = 1,435,656.21/1,892.38
  6. Step 6: Final answer
    x = 758.65

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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.