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Finding the Fourth Proportional to 2,156.94, 3,233.30 and 922.64

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Solution

The fourth proportional to 2,156.94, 3,233.30 and 922.64 is: 1,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.94 : 3,233.30 = 922.64 : x
  2. Step 2: Convert to fraction form
    2,156.94/3,233.30 = 922.64/x
  3. Step 3: Cross multiply
    2,156.94x = 3,233.30 × 922.64
  4. Step 4: Simplify right side
    2,156.94x = 2,983,171.91
  5. Step 5: Solve for x
    x = 2,983,171.91/2,156.94
  6. Step 6: Final answer
    x = 1,383.06

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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.