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Finding the Fourth Proportional to 1,908.81, 2,862.78 and 1,205.68

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Solution

The fourth proportional to 1,908.81, 2,862.78 and 1,205.68 is: 1,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.81 : 2,862.78 = 1,205.68 : x
  2. Step 2: Convert to fraction form
    1,908.81/2,862.78 = 1,205.68/x
  3. Step 3: Cross multiply
    1,908.81x = 2,862.78 × 1,205.68
  4. Step 4: Simplify right side
    1,908.81x = 3,451,596.59
  5. Step 5: Solve for x
    x = 3,451,596.59/1,908.81
  6. Step 6: Final answer
    x = 1,808.25

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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.