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Finding the Fourth Proportional to 20,267.66, 30,396.70 and 5,476.70

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Solution

The fourth proportional to 20,267.66, 30,396.70 and 5,476.70 is: 8,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.66 : 30,396.70 = 5,476.70 : x
  2. Step 2: Convert to fraction form
    20,267.66/30,396.70 = 5,476.70/x
  3. Step 3: Cross multiply
    20,267.66x = 30,396.70 × 5,476.70
  4. Step 4: Simplify right side
    20,267.66x = 166,473,606.89
  5. Step 5: Solve for x
    x = 166,473,606.89/20,267.66
  6. Step 6: Final answer
    x = 8,213.76

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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.