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Finding the Fourth Proportional to 1,928.87, 2,876.72 and 1,832.28

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Solution

The fourth proportional to 1,928.87, 2,876.72 and 1,832.28 is: 2,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.87 : 2,876.72 = 1,832.28 : x
  2. Step 2: Convert to fraction form
    1,928.87/2,876.72 = 1,832.28/x
  3. Step 3: Cross multiply
    1,928.87x = 2,876.72 × 1,832.28
  4. Step 4: Simplify right side
    1,928.87x = 5,270,956.52
  5. Step 5: Solve for x
    x = 5,270,956.52/1,928.87
  6. Step 6: Final answer
    x = 2,732.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.