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Finding the Fourth Proportional to 26,731.20, 40,129.20 and 13,576.80

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Solution

The fourth proportional to 26,731.20, 40,129.20 and 13,576.80 is: 20,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731.20 : 40,129.20 = 13,576.80 : x
  2. Step 2: Convert to fraction form
    26,731.20/40,129.20 = 13,576.80/x
  3. Step 3: Cross multiply
    26,731.20x = 40,129.20 × 13,576.80
  4. Step 4: Simplify right side
    26,731.20x = 544,826,122.56
  5. Step 5: Solve for x
    x = 544,826,122.56/26,731.20
  6. Step 6: Final answer
    x = 20,381.66

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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.