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Finding the Fourth Proportional to 2,858.93, 3,945.07 and 1,599.82

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Solution

The fourth proportional to 2,858.93, 3,945.07 and 1,599.82 is: 2,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.93 : 3,945.07 = 1,599.82 : x
  2. Step 2: Convert to fraction form
    2,858.93/3,945.07 = 1,599.82/x
  3. Step 3: Cross multiply
    2,858.93x = 3,945.07 × 1,599.82
  4. Step 4: Simplify right side
    2,858.93x = 6,311,394.02
  5. Step 5: Solve for x
    x = 6,311,394.02/2,858.93
  6. Step 6: Final answer
    x = 2,207.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.