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Finding the Fourth Proportional to 33,987.44, 50,978.64 and 14,265.20

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Solution

The fourth proportional to 33,987.44, 50,978.64 and 14,265.20 is: 21,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987.44 : 50,978.64 = 14,265.20 : x
  2. Step 2: Convert to fraction form
    33,987.44/50,978.64 = 14,265.20/x
  3. Step 3: Cross multiply
    33,987.44x = 50,978.64 × 14,265.20
  4. Step 4: Simplify right side
    33,987.44x = 727,220,495.33
  5. Step 5: Solve for x
    x = 727,220,495.33/33,987.44
  6. Step 6: Final answer
    x = 21,396.74

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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.