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Finding the Fourth Proportional to 33,978.80, 50,939.16 and 12,907.04

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Solution

The fourth proportional to 33,978.80, 50,939.16 and 12,907.04 is: 19,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.80 : 50,939.16 = 12,907.04 : x
  2. Step 2: Convert to fraction form
    33,978.80/50,939.16 = 12,907.04/x
  3. Step 3: Cross multiply
    33,978.80x = 50,939.16 × 12,907.04
  4. Step 4: Simplify right side
    33,978.80x = 657,473,775.69
  5. Step 5: Solve for x
    x = 657,473,775.69/33,978.80
  6. Step 6: Final answer
    x = 19,349.53

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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.