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Finding the Fourth Proportional to 3,586, 4,949 and 1,993.16

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Solution

The fourth proportional to 3,586, 4,949 and 1,993.16 is: 2,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 4,949 = 1,993.16 : x
  2. Step 2: Convert to fraction form
    3,586/4,949 = 1,993.16/x
  3. Step 3: Cross multiply
    3,586x = 4,949 × 1,993.16
  4. Step 4: Simplify right side
    3,586x = 9,864,148.84
  5. Step 5: Solve for x
    x = 9,864,148.84/3,586
  6. Step 6: Final answer
    x = 2,750.74

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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.