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Finding the Fourth Proportional to 2,928.84, 4,410.78 and 2,568

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Solution

The fourth proportional to 2,928.84, 4,410.78 and 2,568 is: 3,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.84 : 4,410.78 = 2,568 : x
  2. Step 2: Convert to fraction form
    2,928.84/4,410.78 = 2,568/x
  3. Step 3: Cross multiply
    2,928.84x = 4,410.78 × 2,568
  4. Step 4: Simplify right side
    2,928.84x = 11,326,883.04
  5. Step 5: Solve for x
    x = 11,326,883.04/2,928.84
  6. Step 6: Final answer
    x = 3,867.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.