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Finding the Fourth Proportional to 33,809.60, 50,721.60 and 10,438.40

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Solution

The fourth proportional to 33,809.60, 50,721.60 and 10,438.40 is: 15,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809.60 : 50,721.60 = 10,438.40 : x
  2. Step 2: Convert to fraction form
    33,809.60/50,721.60 = 10,438.40/x
  3. Step 3: Cross multiply
    33,809.60x = 50,721.60 × 10,438.40
  4. Step 4: Simplify right side
    33,809.60x = 529,452,349.44
  5. Step 5: Solve for x
    x = 529,452,349.44/33,809.60
  6. Step 6: Final answer
    x = 15,659.82

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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.