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Finding the Fourth Proportional to 33,878, 46,751.64 and 20,630

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Solution

The fourth proportional to 33,878, 46,751.64 and 20,630 is: 28,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878 : 46,751.64 = 20,630 : x
  2. Step 2: Convert to fraction form
    33,878/46,751.64 = 20,630/x
  3. Step 3: Cross multiply
    33,878x = 46,751.64 × 20,630
  4. Step 4: Simplify right side
    33,878x = 964,486,333.20
  5. Step 5: Solve for x
    x = 964,486,333.20/33,878
  6. Step 6: Final answer
    x = 28,469.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.