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Finding the Fourth Proportional to 1,906.73, 2,860.08 and 1,257.30

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Solution

The fourth proportional to 1,906.73, 2,860.08 and 1,257.30 is: 1,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.73 : 2,860.08 = 1,257.30 : x
  2. Step 2: Convert to fraction form
    1,906.73/2,860.08 = 1,257.30/x
  3. Step 3: Cross multiply
    1,906.73x = 2,860.08 × 1,257.30
  4. Step 4: Simplify right side
    1,906.73x = 3,595,978.58
  5. Step 5: Solve for x
    x = 3,595,978.58/1,906.73
  6. Step 6: Final answer
    x = 1,885.95

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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.