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Finding the Fourth Proportional to 2,156.05, 3,234.09 and 922.42

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Solution

The fourth proportional to 2,156.05, 3,234.09 and 922.42 is: 1,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.05 : 3,234.09 = 922.42 : x
  2. Step 2: Convert to fraction form
    2,156.05/3,234.09 = 922.42/x
  3. Step 3: Cross multiply
    2,156.05x = 3,234.09 × 922.42
  4. Step 4: Simplify right side
    2,156.05x = 2,983,189.30
  5. Step 5: Solve for x
    x = 2,983,189.30/2,156.05
  6. Step 6: Final answer
    x = 1,383.64

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1.5x scale

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.