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Finding the Fourth Proportional to 2,713.06, 4,067.78 and 981.46

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Solution

The fourth proportional to 2,713.06, 4,067.78 and 981.46 is: 1,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.06 : 4,067.78 = 981.46 : x
  2. Step 2: Convert to fraction form
    2,713.06/4,067.78 = 981.46/x
  3. Step 3: Cross multiply
    2,713.06x = 4,067.78 × 981.46
  4. Step 4: Simplify right side
    2,713.06x = 3,992,363.36
  5. Step 5: Solve for x
    x = 3,992,363.36/2,713.06
  6. Step 6: Final answer
    x = 1,471.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.