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Finding the Fourth Proportional to 2,109.24, 3,183.57 and 2,109.24

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Solution

The fourth proportional to 2,109.24, 3,183.57 and 2,109.24 is: 3,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.24 : 3,183.57 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    2,109.24/3,183.57 = 2,109.24/x
  3. Step 3: Cross multiply
    2,109.24x = 3,183.57 × 2,109.24
  4. Step 4: Simplify right side
    2,109.24x = 6,714,913.19
  5. Step 5: Solve for x
    x = 6,714,913.19/2,109.24
  6. Step 6: Final answer
    x = 3,183.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.