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Finding the Fourth Proportional to 1,906.78, 2,857.23 and 1,288.06

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Solution

The fourth proportional to 1,906.78, 2,857.23 and 1,288.06 is: 1,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.78 : 2,857.23 = 1,288.06 : x
  2. Step 2: Convert to fraction form
    1,906.78/2,857.23 = 1,288.06/x
  3. Step 3: Cross multiply
    1,906.78x = 2,857.23 × 1,288.06
  4. Step 4: Simplify right side
    1,906.78x = 3,680,283.67
  5. Step 5: Solve for x
    x = 3,680,283.67/1,906.78
  6. Step 6: Final answer
    x = 1,930.10

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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.