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Finding the Fourth Proportional to 2,873.82, 4,310.82 and 926.22

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Solution

The fourth proportional to 2,873.82, 4,310.82 and 926.22 is: 1,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.82 : 4,310.82 = 926.22 : x
  2. Step 2: Convert to fraction form
    2,873.82/4,310.82 = 926.22/x
  3. Step 3: Cross multiply
    2,873.82x = 4,310.82 × 926.22
  4. Step 4: Simplify right side
    2,873.82x = 3,992,767.70
  5. Step 5: Solve for x
    x = 3,992,767.70/2,873.82
  6. Step 6: Final answer
    x = 1,389.36

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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.