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Finding the Fourth Proportional to 33,868, 46,737.84 and 20,620

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Solution

The fourth proportional to 33,868, 46,737.84 and 20,620 is: 28,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,868 : 46,737.84 = 20,620 : x
  2. Step 2: Convert to fraction form
    33,868/46,737.84 = 20,620/x
  3. Step 3: Cross multiply
    33,868x = 46,737.84 × 20,620
  4. Step 4: Simplify right side
    33,868x = 963,734,260.80
  5. Step 5: Solve for x
    x = 963,734,260.80/33,868
  6. Step 6: Final answer
    x = 28,455.60

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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.