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Finding the Fourth Proportional to 33,978.83, 50,968.28 and 12,913.92

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Solution

The fourth proportional to 33,978.83, 50,968.28 and 12,913.92 is: 19,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.83 : 50,968.28 = 12,913.92 : x
  2. Step 2: Convert to fraction form
    33,978.83/50,968.28 = 12,913.92/x
  3. Step 3: Cross multiply
    33,978.83x = 50,968.28 × 12,913.92
  4. Step 4: Simplify right side
    33,978.83x = 658,200,241.99
  5. Step 5: Solve for x
    x = 658,200,241.99/33,978.83
  6. Step 6: Final answer
    x = 19,370.89

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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.