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Finding the Fourth Proportional to 19,794.60, 29,694.78 and 6,643.80

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Solution

The fourth proportional to 19,794.60, 29,694.78 and 6,643.80 is: 9,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.60 : 29,694.78 = 6,643.80 : x
  2. Step 2: Convert to fraction form
    19,794.60/29,694.78 = 6,643.80/x
  3. Step 3: Cross multiply
    19,794.60x = 29,694.78 × 6,643.80
  4. Step 4: Simplify right side
    19,794.60x = 197,286,179.36
  5. Step 5: Solve for x
    x = 197,286,179.36/19,794.60
  6. Step 6: Final answer
    x = 9,966.67

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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.