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Finding the Fourth Proportional to 3,555, 4,906.44 and 2,157.48

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Solution

The fourth proportional to 3,555, 4,906.44 and 2,157.48 is: 2,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,555 : 4,906.44 = 2,157.48 : x
  2. Step 2: Convert to fraction form
    3,555/4,906.44 = 2,157.48/x
  3. Step 3: Cross multiply
    3,555x = 4,906.44 × 2,157.48
  4. Step 4: Simplify right side
    3,555x = 10,585,546.17
  5. Step 5: Solve for x
    x = 10,585,546.17/3,555
  6. Step 6: Final answer
    x = 2,977.65

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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.