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Finding the Fourth Proportional to 1,999.38, 3,001.68 and 1,537.49

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Solution

The fourth proportional to 1,999.38, 3,001.68 and 1,537.49 is: 2,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.38 : 3,001.68 = 1,537.49 : x
  2. Step 2: Convert to fraction form
    1,999.38/3,001.68 = 1,537.49/x
  3. Step 3: Cross multiply
    1,999.38x = 3,001.68 × 1,537.49
  4. Step 4: Simplify right side
    1,999.38x = 4,615,039.28
  5. Step 5: Solve for x
    x = 4,615,039.28/1,999.38
  6. Step 6: Final answer
    x = 2,308.23

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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.