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Finding the Fourth Proportional to 2,772, 3,825.30 and 1,654.20

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Solution

The fourth proportional to 2,772, 3,825.30 and 1,654.20 is: 2,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772 : 3,825.30 = 1,654.20 : x
  2. Step 2: Convert to fraction form
    2,772/3,825.30 = 1,654.20/x
  3. Step 3: Cross multiply
    2,772x = 3,825.30 × 1,654.20
  4. Step 4: Simplify right side
    2,772x = 6,327,811.26
  5. Step 5: Solve for x
    x = 6,327,811.26/2,772
  6. Step 6: Final answer
    x = 2,282.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.