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Finding the Fourth Proportional to 21,984.65, 32,980.05 and 7,190.62

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Solution

The fourth proportional to 21,984.65, 32,980.05 and 7,190.62 is: 10,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.65 : 32,980.05 = 7,190.62 : x
  2. Step 2: Convert to fraction form
    21,984.65/32,980.05 = 7,190.62/x
  3. Step 3: Cross multiply
    21,984.65x = 32,980.05 × 7,190.62
  4. Step 4: Simplify right side
    21,984.65x = 237,147,007.13
  5. Step 5: Solve for x
    x = 237,147,007.13/21,984.65
  6. Step 6: Final answer
    x = 10,786.94

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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.