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Finding the Fourth Proportional to 1,906.24, 2,858.12 and 1,255

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Solution

The fourth proportional to 1,906.24, 2,858.12 and 1,255 is: 1,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.24 : 2,858.12 = 1,255 : x
  2. Step 2: Convert to fraction form
    1,906.24/2,858.12 = 1,255/x
  3. Step 3: Cross multiply
    1,906.24x = 2,858.12 × 1,255
  4. Step 4: Simplify right side
    1,906.24x = 3,586,940.60
  5. Step 5: Solve for x
    x = 3,586,940.60/1,906.24
  6. Step 6: Final answer
    x = 1,881.68

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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.