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Finding the Fourth Proportional to 2,122.77, 3,184.11 and 661.94

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Solution

The fourth proportional to 2,122.77, 3,184.11 and 661.94 is: 992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.77 : 3,184.11 = 661.94 : x
  2. Step 2: Convert to fraction form
    2,122.77/3,184.11 = 661.94/x
  3. Step 3: Cross multiply
    2,122.77x = 3,184.11 × 661.94
  4. Step 4: Simplify right side
    2,122.77x = 2,107,685.79
  5. Step 5: Solve for x
    x = 2,107,685.79/2,122.77
  6. Step 6: Final answer
    x = 992.89

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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.