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Finding the Fourth Proportional to 3,832.56, 5,289.12 and 2,154

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Solution

The fourth proportional to 3,832.56, 5,289.12 and 2,154 is: 2,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.56 : 5,289.12 = 2,154 : x
  2. Step 2: Convert to fraction form
    3,832.56/5,289.12 = 2,154/x
  3. Step 3: Cross multiply
    3,832.56x = 5,289.12 × 2,154
  4. Step 4: Simplify right side
    3,832.56x = 11,392,764.48
  5. Step 5: Solve for x
    x = 11,392,764.48/3,832.56
  6. Step 6: Final answer
    x = 2,972.63

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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.