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Finding the Fourth Proportional to 2,747, 3,790.94 and 1,505.08

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Solution

The fourth proportional to 2,747, 3,790.94 and 1,505.08 is: 2,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747 : 3,790.94 = 1,505.08 : x
  2. Step 2: Convert to fraction form
    2,747/3,790.94 = 1,505.08/x
  3. Step 3: Cross multiply
    2,747x = 3,790.94 × 1,505.08
  4. Step 4: Simplify right side
    2,747x = 5,705,667.98
  5. Step 5: Solve for x
    x = 5,705,667.98/2,747
  6. Step 6: Final answer
    x = 2,077.05

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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.