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Finding the Fourth Proportional to 13,823, 20,734.36 and 6,423.32

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Solution

The fourth proportional to 13,823, 20,734.36 and 6,423.32 is: 9,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823 : 20,734.36 = 6,423.32 : x
  2. Step 2: Convert to fraction form
    13,823/20,734.36 = 6,423.32/x
  3. Step 3: Cross multiply
    13,823x = 20,734.36 × 6,423.32
  4. Step 4: Simplify right side
    13,823x = 133,183,429.28
  5. Step 5: Solve for x
    x = 133,183,429.28/13,823
  6. Step 6: Final answer
    x = 9,634.91

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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.