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Finding the Fourth Proportional to 2,654.12, 3,981.54 and 922.44

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Solution

The fourth proportional to 2,654.12, 3,981.54 and 922.44 is: 1,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.12 : 3,981.54 = 922.44 : x
  2. Step 2: Convert to fraction form
    2,654.12/3,981.54 = 922.44/x
  3. Step 3: Cross multiply
    2,654.12x = 3,981.54 × 922.44
  4. Step 4: Simplify right side
    2,654.12x = 3,672,731.76
  5. Step 5: Solve for x
    x = 3,672,731.76/2,654.12
  6. Step 6: Final answer
    x = 1,383.79

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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.