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Finding the Fourth Proportional to 2,709.06, 3,738.96 and 1,530.09

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Solution

The fourth proportional to 2,709.06, 3,738.96 and 1,530.09 is: 2,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.06 : 3,738.96 = 1,530.09 : x
  2. Step 2: Convert to fraction form
    2,709.06/3,738.96 = 1,530.09/x
  3. Step 3: Cross multiply
    2,709.06x = 3,738.96 × 1,530.09
  4. Step 4: Simplify right side
    2,709.06x = 5,720,945.31
  5. Step 5: Solve for x
    x = 5,720,945.31/2,709.06
  6. Step 6: Final answer
    x = 2,111.78

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