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Finding the Fourth Proportional to 21,940.20, 32,904.02 and 7,150.41

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Solution

The fourth proportional to 21,940.20, 32,904.02 and 7,150.41 is: 10,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.20 : 32,904.02 = 7,150.41 : x
  2. Step 2: Convert to fraction form
    21,940.20/32,904.02 = 7,150.41/x
  3. Step 3: Cross multiply
    21,940.20x = 32,904.02 × 7,150.41
  4. Step 4: Simplify right side
    21,940.20x = 235,277,233.65
  5. Step 5: Solve for x
    x = 235,277,233.65/21,940.20
  6. Step 6: Final answer
    x = 10,723.57

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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.