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Finding the Fourth Proportional to 2,776.11, 4,162.75 and 926.56

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Solution

The fourth proportional to 2,776.11, 4,162.75 and 926.56 is: 1,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.11 : 4,162.75 = 926.56 : x
  2. Step 2: Convert to fraction form
    2,776.11/4,162.75 = 926.56/x
  3. Step 3: Cross multiply
    2,776.11x = 4,162.75 × 926.56
  4. Step 4: Simplify right side
    2,776.11x = 3,857,037.64
  5. Step 5: Solve for x
    x = 3,857,037.64/2,776.11
  6. Step 6: Final answer
    x = 1,389.37

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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.