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Finding the Fourth Proportional to 26,999.10, 40,520.31 and 12,209.31

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Solution

The fourth proportional to 26,999.10, 40,520.31 and 12,209.31 is: 18,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,999.10 : 40,520.31 = 12,209.31 : x
  2. Step 2: Convert to fraction form
    26,999.10/40,520.31 = 12,209.31/x
  3. Step 3: Cross multiply
    26,999.10x = 40,520.31 × 12,209.31
  4. Step 4: Simplify right side
    26,999.10x = 494,725,026.09
  5. Step 5: Solve for x
    x = 494,725,026.09/26,999.10
  6. Step 6: Final answer
    x = 18,323.76

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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.