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Finding the Fourth Proportional to 2,741.94, 4,113.94 and 1,647.09

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Solution

The fourth proportional to 2,741.94, 4,113.94 and 1,647.09 is: 2,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.94 : 4,113.94 = 1,647.09 : x
  2. Step 2: Convert to fraction form
    2,741.94/4,113.94 = 1,647.09/x
  3. Step 3: Cross multiply
    2,741.94x = 4,113.94 × 1,647.09
  4. Step 4: Simplify right side
    2,741.94x = 6,776,029.43
  5. Step 5: Solve for x
    x = 6,776,029.43/2,741.94
  6. Step 6: Final answer
    x = 2,471.25

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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.