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Finding the Fourth Proportional to 3,502.08, 5,255.69 and 1,858.95

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Solution

The fourth proportional to 3,502.08, 5,255.69 and 1,858.95 is: 2,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.08 : 5,255.69 = 1,858.95 : x
  2. Step 2: Convert to fraction form
    3,502.08/5,255.69 = 1,858.95/x
  3. Step 3: Cross multiply
    3,502.08x = 5,255.69 × 1,858.95
  4. Step 4: Simplify right side
    3,502.08x = 9,770,055.63
  5. Step 5: Solve for x
    x = 9,770,055.63/3,502.08
  6. Step 6: Final answer
    x = 2,789.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.