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Finding the Fourth Proportional to 1,999.93, 3,000.58 and 1,805.83

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Solution

The fourth proportional to 1,999.93, 3,000.58 and 1,805.83 is: 2,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.93 : 3,000.58 = 1,805.83 : x
  2. Step 2: Convert to fraction form
    1,999.93/3,000.58 = 1,805.83/x
  3. Step 3: Cross multiply
    1,999.93x = 3,000.58 × 1,805.83
  4. Step 4: Simplify right side
    1,999.93x = 5,418,537.38
  5. Step 5: Solve for x
    x = 5,418,537.38/1,999.93
  6. Step 6: Final answer
    x = 2,709.36

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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.