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Finding the Fourth Proportional to 1,992.81, 2,984.58 and 1,923.60

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Solution

The fourth proportional to 1,992.81, 2,984.58 and 1,923.60 is: 2,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.81 : 2,984.58 = 1,923.60 : x
  2. Step 2: Convert to fraction form
    1,992.81/2,984.58 = 1,923.60/x
  3. Step 3: Cross multiply
    1,992.81x = 2,984.58 × 1,923.60
  4. Step 4: Simplify right side
    1,992.81x = 5,741,138.09
  5. Step 5: Solve for x
    x = 5,741,138.09/1,992.81
  6. Step 6: Final answer
    x = 2,880.93

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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.