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Finding the Fourth Proportional to 7,992.81, 11,988.41 and 2,150.01

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Solution

The fourth proportional to 7,992.81, 11,988.41 and 2,150.01 is: 3,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.81 : 11,988.41 = 2,150.01 : x
  2. Step 2: Convert to fraction form
    7,992.81/11,988.41 = 2,150.01/x
  3. Step 3: Cross multiply
    7,992.81x = 11,988.41 × 2,150.01
  4. Step 4: Simplify right side
    7,992.81x = 25,775,190.63
  5. Step 5: Solve for x
    x = 25,775,190.63/7,992.81
  6. Step 6: Final answer
    x = 3,224.80

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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.