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Finding the Fourth Proportional to 19,947, 29,891.36 and 8,850.40

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Solution

The fourth proportional to 19,947, 29,891.36 and 8,850.40 is: 13,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947 : 29,891.36 = 8,850.40 : x
  2. Step 2: Convert to fraction form
    19,947/29,891.36 = 8,850.40/x
  3. Step 3: Cross multiply
    19,947x = 29,891.36 × 8,850.40
  4. Step 4: Simplify right side
    19,947x = 264,550,492.54
  5. Step 5: Solve for x
    x = 264,550,492.54/19,947
  6. Step 6: Final answer
    x = 13,262.67

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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.