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Finding the Fourth Proportional to 3,583, 4,944.81 and 1,990

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Solution

The fourth proportional to 3,583, 4,944.81 and 1,990 is: 2,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583 : 4,944.81 = 1,990 : x
  2. Step 2: Convert to fraction form
    3,583/4,944.81 = 1,990/x
  3. Step 3: Cross multiply
    3,583x = 4,944.81 × 1,990
  4. Step 4: Simplify right side
    3,583x = 9,840,171.90
  5. Step 5: Solve for x
    x = 9,840,171.90/3,583
  6. Step 6: Final answer
    x = 2,746.35

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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.