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Finding the Fourth Proportional to 1,999.23, 2,998.83 and 1,537.83

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Solution

The fourth proportional to 1,999.23, 2,998.83 and 1,537.83 is: 2,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.23 : 2,998.83 = 1,537.83 : x
  2. Step 2: Convert to fraction form
    1,999.23/2,998.83 = 1,537.83/x
  3. Step 3: Cross multiply
    1,999.23x = 2,998.83 × 1,537.83
  4. Step 4: Simplify right side
    1,999.23x = 4,611,690.74
  5. Step 5: Solve for x
    x = 4,611,690.74/1,999.23
  6. Step 6: Final answer
    x = 2,306.73

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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.