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Finding the Fourth Proportional to 2,122.81, 3,184.40 and 661.97

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Solution

The fourth proportional to 2,122.81, 3,184.40 and 661.97 is: 993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.81 : 3,184.40 = 661.97 : x
  2. Step 2: Convert to fraction form
    2,122.81/3,184.40 = 661.97/x
  3. Step 3: Cross multiply
    2,122.81x = 3,184.40 × 661.97
  4. Step 4: Simplify right side
    2,122.81x = 2,107,986.88
  5. Step 5: Solve for x
    x = 2,107,986.88/2,122.81
  6. Step 6: Final answer
    x = 993.02

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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.