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Finding the Fourth Proportional to 20,731.28, 31,103.48 and 7,403.96

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Solution

The fourth proportional to 20,731.28, 31,103.48 and 7,403.96 is: 11,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.28 : 31,103.48 = 7,403.96 : x
  2. Step 2: Convert to fraction form
    20,731.28/31,103.48 = 7,403.96/x
  3. Step 3: Cross multiply
    20,731.28x = 31,103.48 × 7,403.96
  4. Step 4: Simplify right side
    20,731.28x = 230,289,018.05
  5. Step 5: Solve for x
    x = 230,289,018.05/20,731.28
  6. Step 6: Final answer
    x = 11,108.29

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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.