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Finding the Fourth Proportional to 1,904.80, 2,855.25 and 1,211.98

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Solution

The fourth proportional to 1,904.80, 2,855.25 and 1,211.98 is: 1,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.80 : 2,855.25 = 1,211.98 : x
  2. Step 2: Convert to fraction form
    1,904.80/2,855.25 = 1,211.98/x
  3. Step 3: Cross multiply
    1,904.80x = 2,855.25 × 1,211.98
  4. Step 4: Simplify right side
    1,904.80x = 3,460,505.90
  5. Step 5: Solve for x
    x = 3,460,505.90/1,904.80
  6. Step 6: Final answer
    x = 1,816.73

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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.