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Finding the Fourth Proportional to 1,808, 2,709.96 and 986

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Solution

The fourth proportional to 1,808, 2,709.96 and 986 is: 1,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808 : 2,709.96 = 986 : x
  2. Step 2: Convert to fraction form
    1,808/2,709.96 = 986/x
  3. Step 3: Cross multiply
    1,808x = 2,709.96 × 986
  4. Step 4: Simplify right side
    1,808x = 2,672,020.56
  5. Step 5: Solve for x
    x = 2,672,020.56/1,808
  6. Step 6: Final answer
    x = 1,477.89

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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.