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Finding the Fourth Proportional to 1,808.51, 2,709.12 and 1,396.22

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Solution

The fourth proportional to 1,808.51, 2,709.12 and 1,396.22 is: 2,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.51 : 2,709.12 = 1,396.22 : x
  2. Step 2: Convert to fraction form
    1,808.51/2,709.12 = 1,396.22/x
  3. Step 3: Cross multiply
    1,808.51x = 2,709.12 × 1,396.22
  4. Step 4: Simplify right side
    1,808.51x = 3,782,527.53
  5. Step 5: Solve for x
    x = 3,782,527.53/1,808.51
  6. Step 6: Final answer
    x = 2,091.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.