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Finding the Fourth Proportional to 33,978.89, 50,986.67 and 19,966.30

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Solution

The fourth proportional to 33,978.89, 50,986.67 and 19,966.30 is: 29,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.89 : 50,986.67 = 19,966.30 : x
  2. Step 2: Convert to fraction form
    33,978.89/50,986.67 = 19,966.30/x
  3. Step 3: Cross multiply
    33,978.89x = 50,986.67 × 19,966.30
  4. Step 4: Simplify right side
    33,978.89x = 1,018,014,794.46
  5. Step 5: Solve for x
    x = 1,018,014,794.46/33,978.89
  6. Step 6: Final answer
    x = 29,960.21

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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.