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Finding the Fourth Proportional to 2,109.29, 3,163.92 and 570.29

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Solution

The fourth proportional to 2,109.29, 3,163.92 and 570.29 is: 855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.29 : 3,163.92 = 570.29 : x
  2. Step 2: Convert to fraction form
    2,109.29/3,163.92 = 570.29/x
  3. Step 3: Cross multiply
    2,109.29x = 3,163.92 × 570.29
  4. Step 4: Simplify right side
    2,109.29x = 1,804,336.12
  5. Step 5: Solve for x
    x = 1,804,336.12/2,109.29
  6. Step 6: Final answer
    x = 855.43

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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.