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Finding the Fourth Proportional to 3,318.97, 4,582.02 and 1,993

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Solution

The fourth proportional to 3,318.97, 4,582.02 and 1,993 is: 2,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.97 : 4,582.02 = 1,993 : x
  2. Step 2: Convert to fraction form
    3,318.97/4,582.02 = 1,993/x
  3. Step 3: Cross multiply
    3,318.97x = 4,582.02 × 1,993
  4. Step 4: Simplify right side
    3,318.97x = 9,131,965.86
  5. Step 5: Solve for x
    x = 9,131,965.86/3,318.97
  6. Step 6: Final answer
    x = 2,751.45

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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.