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Finding the Fourth Proportional to 20,467.92, 30,698.04 and 5,677.92

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Solution

The fourth proportional to 20,467.92, 30,698.04 and 5,677.92 is: 8,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467.92 : 30,698.04 = 5,677.92 : x
  2. Step 2: Convert to fraction form
    20,467.92/30,698.04 = 5,677.92/x
  3. Step 3: Cross multiply
    20,467.92x = 30,698.04 × 5,677.92
  4. Step 4: Simplify right side
    20,467.92x = 174,301,015.28
  5. Step 5: Solve for x
    x = 174,301,015.28/20,467.92
  6. Step 6: Final answer
    x = 8,515.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.