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Finding the Fourth Proportional to 33,709.80, 50,564.70 and 21,243.90

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Solution

The fourth proportional to 33,709.80, 50,564.70 and 21,243.90 is: 31,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.80 : 50,564.70 = 21,243.90 : x
  2. Step 2: Convert to fraction form
    33,709.80/50,564.70 = 21,243.90/x
  3. Step 3: Cross multiply
    33,709.80x = 50,564.70 × 21,243.90
  4. Step 4: Simplify right side
    33,709.80x = 1,074,191,430.33
  5. Step 5: Solve for x
    x = 1,074,191,430.33/33,709.80
  6. Step 6: Final answer
    x = 31,865.85

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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.