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Finding the Fourth Proportional to 3,980.82, 5,971.16 and 1,383.69

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Solution

The fourth proportional to 3,980.82, 5,971.16 and 1,383.69 is: 2,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.82 : 5,971.16 = 1,383.69 : x
  2. Step 2: Convert to fraction form
    3,980.82/5,971.16 = 1,383.69/x
  3. Step 3: Cross multiply
    3,980.82x = 5,971.16 × 1,383.69
  4. Step 4: Simplify right side
    3,980.82x = 8,262,215.99
  5. Step 5: Solve for x
    x = 8,262,215.99/3,980.82
  6. Step 6: Final answer
    x = 2,075.51

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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.