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Finding the Fourth Proportional to 1,808.11, 2,709.56 and 1,065.97

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Solution

The fourth proportional to 1,808.11, 2,709.56 and 1,065.97 is: 1,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.11 : 2,709.56 = 1,065.97 : x
  2. Step 2: Convert to fraction form
    1,808.11/2,709.56 = 1,065.97/x
  3. Step 3: Cross multiply
    1,808.11x = 2,709.56 × 1,065.97
  4. Step 4: Simplify right side
    1,808.11x = 2,888,309.67
  5. Step 5: Solve for x
    x = 2,888,309.67/1,808.11
  6. Step 6: Final answer
    x = 1,597.42

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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.