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Finding the Fourth Proportional to 2,858.67, 3,945.27 and 1,600.07

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Solution

The fourth proportional to 2,858.67, 3,945.27 and 1,600.07 is: 2,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.67 : 3,945.27 = 1,600.07 : x
  2. Step 2: Convert to fraction form
    2,858.67/3,945.27 = 1,600.07/x
  3. Step 3: Cross multiply
    2,858.67x = 3,945.27 × 1,600.07
  4. Step 4: Simplify right side
    2,858.67x = 6,312,688.44
  5. Step 5: Solve for x
    x = 6,312,688.44/2,858.67
  6. Step 6: Final answer
    x = 2,208.26

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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.