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Finding the Fourth Proportional to 1,999.38, 3,002.31 and 1,234.74

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Solution

The fourth proportional to 1,999.38, 3,002.31 and 1,234.74 is: 1,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.38 : 3,002.31 = 1,234.74 : x
  2. Step 2: Convert to fraction form
    1,999.38/3,002.31 = 1,234.74/x
  3. Step 3: Cross multiply
    1,999.38x = 3,002.31 × 1,234.74
  4. Step 4: Simplify right side
    1,999.38x = 3,707,072.25
  5. Step 5: Solve for x
    x = 3,707,072.25/1,999.38
  6. Step 6: Final answer
    x = 1,854.11

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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.