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Finding the Fourth Proportional to 20,679.25, 31,019.19 and 5,096.89

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Solution

The fourth proportional to 20,679.25, 31,019.19 and 5,096.89 is: 7,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.25 : 31,019.19 = 5,096.89 : x
  2. Step 2: Convert to fraction form
    20,679.25/31,019.19 = 5,096.89/x
  3. Step 3: Cross multiply
    20,679.25x = 31,019.19 × 5,096.89
  4. Step 4: Simplify right side
    20,679.25x = 158,101,399.32
  5. Step 5: Solve for x
    x = 158,101,399.32/20,679.25
  6. Step 6: Final answer
    x = 7,645.41

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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.