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Finding the Fourth Proportional to 2,122.88, 3,184.28 and 662.11

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Solution

The fourth proportional to 2,122.88, 3,184.28 and 662.11 is: 993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.88 : 3,184.28 = 662.11 : x
  2. Step 2: Convert to fraction form
    2,122.88/3,184.28 = 662.11/x
  3. Step 3: Cross multiply
    2,122.88x = 3,184.28 × 662.11
  4. Step 4: Simplify right side
    2,122.88x = 2,108,343.63
  5. Step 5: Solve for x
    x = 2,108,343.63/2,122.88
  6. Step 6: Final answer
    x = 993.15

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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.