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Finding the Fourth Proportional to 1,999.35, 2,999.16 and 1,267.92

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Solution

The fourth proportional to 1,999.35, 2,999.16 and 1,267.92 is: 1,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.35 : 2,999.16 = 1,267.92 : x
  2. Step 2: Convert to fraction form
    1,999.35/2,999.16 = 1,267.92/x
  3. Step 3: Cross multiply
    1,999.35x = 2,999.16 × 1,267.92
  4. Step 4: Simplify right side
    1,999.35x = 3,802,694.95
  5. Step 5: Solve for x
    x = 3,802,694.95/1,999.35
  6. Step 6: Final answer
    x = 1,901.97

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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.