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Finding the Fourth Proportional to 1,905.93, 2,858.49 and 851.85

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Solution

The fourth proportional to 1,905.93, 2,858.49 and 851.85 is: 1,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.93 : 2,858.49 = 851.85 : x
  2. Step 2: Convert to fraction form
    1,905.93/2,858.49 = 851.85/x
  3. Step 3: Cross multiply
    1,905.93x = 2,858.49 × 851.85
  4. Step 4: Simplify right side
    1,905.93x = 2,435,004.71
  5. Step 5: Solve for x
    x = 2,435,004.71/1,905.93
  6. Step 6: Final answer
    x = 1,277.59

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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.