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Finding the Fourth Proportional to 17,947, 26,920.74 and 5,635

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Solution

The fourth proportional to 17,947, 26,920.74 and 5,635 is: 8,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947 : 26,920.74 = 5,635 : x
  2. Step 2: Convert to fraction form
    17,947/26,920.74 = 5,635/x
  3. Step 3: Cross multiply
    17,947x = 26,920.74 × 5,635
  4. Step 4: Simplify right side
    17,947x = 151,698,369.90
  5. Step 5: Solve for x
    x = 151,698,369.90/17,947
  6. Step 6: Final answer
    x = 8,452.58

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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.