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Finding the Fourth Proportional to 2,660.66, 3,993.65 and 1,101.58

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Solution

The fourth proportional to 2,660.66, 3,993.65 and 1,101.58 is: 1,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.66 : 3,993.65 = 1,101.58 : x
  2. Step 2: Convert to fraction form
    2,660.66/3,993.65 = 1,101.58/x
  3. Step 3: Cross multiply
    2,660.66x = 3,993.65 × 1,101.58
  4. Step 4: Simplify right side
    2,660.66x = 4,399,317.74
  5. Step 5: Solve for x
    x = 4,399,317.74/2,660.66
  6. Step 6: Final answer
    x = 1,653.47

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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.