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Finding the Fourth Proportional to 2,908.88, 4,015.68 and 1,982.24

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Solution

The fourth proportional to 2,908.88, 4,015.68 and 1,982.24 is: 2,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.88 : 4,015.68 = 1,982.24 : x
  2. Step 2: Convert to fraction form
    2,908.88/4,015.68 = 1,982.24/x
  3. Step 3: Cross multiply
    2,908.88x = 4,015.68 × 1,982.24
  4. Step 4: Simplify right side
    2,908.88x = 7,960,041.52
  5. Step 5: Solve for x
    x = 7,960,041.52/2,908.88
  6. Step 6: Final answer
    x = 2,736.46

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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.