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Finding the Fourth Proportional to 2,047.87, 2,825.72 and 1,208.46

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Solution

The fourth proportional to 2,047.87, 2,825.72 and 1,208.46 is: 1,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.87 : 2,825.72 = 1,208.46 : x
  2. Step 2: Convert to fraction form
    2,047.87/2,825.72 = 1,208.46/x
  3. Step 3: Cross multiply
    2,047.87x = 2,825.72 × 1,208.46
  4. Step 4: Simplify right side
    2,047.87x = 3,414,769.59
  5. Step 5: Solve for x
    x = 3,414,769.59/2,047.87
  6. Step 6: Final answer
    x = 1,667.48

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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.