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Finding the Fourth Proportional to 33,978.81, 50,964.25 and 9,020.80

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Solution

The fourth proportional to 33,978.81, 50,964.25 and 9,020.80 is: 13,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.81 : 50,964.25 = 9,020.80 : x
  2. Step 2: Convert to fraction form
    33,978.81/50,964.25 = 9,020.80/x
  3. Step 3: Cross multiply
    33,978.81x = 50,964.25 × 9,020.80
  4. Step 4: Simplify right side
    33,978.81x = 459,738,156.44
  5. Step 5: Solve for x
    x = 459,738,156.44/33,978.81
  6. Step 6: Final answer
    x = 13,530.14

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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.