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Finding the Fourth Proportional to 2,756.09, 3,804.13 and 1,709.03

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Solution

The fourth proportional to 2,756.09, 3,804.13 and 1,709.03 is: 2,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.09 : 3,804.13 = 1,709.03 : x
  2. Step 2: Convert to fraction form
    2,756.09/3,804.13 = 1,709.03/x
  3. Step 3: Cross multiply
    2,756.09x = 3,804.13 × 1,709.03
  4. Step 4: Simplify right side
    2,756.09x = 6,501,383.94
  5. Step 5: Solve for x
    x = 6,501,383.94/2,756.09
  6. Step 6: Final answer
    x = 2,358.91

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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.