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Finding the Fourth Proportional to 1,903.84, 2,855.40 and 1,081.66

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Solution

The fourth proportional to 1,903.84, 2,855.40 and 1,081.66 is: 1,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.84 : 2,855.40 = 1,081.66 : x
  2. Step 2: Convert to fraction form
    1,903.84/2,855.40 = 1,081.66/x
  3. Step 3: Cross multiply
    1,903.84x = 2,855.40 × 1,081.66
  4. Step 4: Simplify right side
    1,903.84x = 3,088,571.96
  5. Step 5: Solve for x
    x = 3,088,571.96/1,903.84
  6. Step 6: Final answer
    x = 1,622.29

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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.