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Finding the Fourth Proportional to 30,940.84, 42,696.90 and 16,793.56

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Solution

The fourth proportional to 30,940.84, 42,696.90 and 16,793.56 is: 23,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.84 : 42,696.90 = 16,793.56 : x
  2. Step 2: Convert to fraction form
    30,940.84/42,696.90 = 16,793.56/x
  3. Step 3: Cross multiply
    30,940.84x = 42,696.90 × 16,793.56
  4. Step 4: Simplify right side
    30,940.84x = 717,032,951.96
  5. Step 5: Solve for x
    x = 717,032,951.96/30,940.84
  6. Step 6: Final answer
    x = 23,174.32

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1.5x scale

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.