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Finding the Fourth Proportional to 2,662.35, 3,993.35 and 1,101.95

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Solution

The fourth proportional to 2,662.35, 3,993.35 and 1,101.95 is: 1,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.35 : 3,993.35 = 1,101.95 : x
  2. Step 2: Convert to fraction form
    2,662.35/3,993.35 = 1,101.95/x
  3. Step 3: Cross multiply
    2,662.35x = 3,993.35 × 1,101.95
  4. Step 4: Simplify right side
    2,662.35x = 4,400,490.19
  5. Step 5: Solve for x
    x = 4,400,490.19/2,662.35
  6. Step 6: Final answer
    x = 1,652.86

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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.