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Finding the Fourth Proportional to 2,076.99, 3,109.86 and 1,295.12

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Solution

The fourth proportional to 2,076.99, 3,109.86 and 1,295.12 is: 1,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.99 : 3,109.86 = 1,295.12 : x
  2. Step 2: Convert to fraction form
    2,076.99/3,109.86 = 1,295.12/x
  3. Step 3: Cross multiply
    2,076.99x = 3,109.86 × 1,295.12
  4. Step 4: Simplify right side
    2,076.99x = 4,027,626.33
  5. Step 5: Solve for x
    x = 4,027,626.33/2,076.99
  6. Step 6: Final answer
    x = 1,939.17

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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.