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Finding the Fourth Proportional to 2,005.85, 3,009.38 and 836.41

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Solution

The fourth proportional to 2,005.85, 3,009.38 and 836.41 is: 1,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.85 : 3,009.38 = 836.41 : x
  2. Step 2: Convert to fraction form
    2,005.85/3,009.38 = 836.41/x
  3. Step 3: Cross multiply
    2,005.85x = 3,009.38 × 836.41
  4. Step 4: Simplify right side
    2,005.85x = 2,517,063.82
  5. Step 5: Solve for x
    x = 2,517,063.82/2,005.85
  6. Step 6: Final answer
    x = 1,254.86

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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.