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Finding the Fourth Proportional to 3,983.82, 5,976.74 and 2,341.76

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Solution

The fourth proportional to 3,983.82, 5,976.74 and 2,341.76 is: 3,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.82 : 5,976.74 = 2,341.76 : x
  2. Step 2: Convert to fraction form
    3,983.82/5,976.74 = 2,341.76/x
  3. Step 3: Cross multiply
    3,983.82x = 5,976.74 × 2,341.76
  4. Step 4: Simplify right side
    3,983.82x = 13,996,090.66
  5. Step 5: Solve for x
    x = 13,996,090.66/3,983.82
  6. Step 6: Final answer
    x = 3,513.23

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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.