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Finding the Fourth Proportional to 1,965.83, 2,943.81 and 1,408.64

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Solution

The fourth proportional to 1,965.83, 2,943.81 and 1,408.64 is: 2,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.83 : 2,943.81 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    1,965.83/2,943.81 = 1,408.64/x
  3. Step 3: Cross multiply
    1,965.83x = 2,943.81 × 1,408.64
  4. Step 4: Simplify right side
    1,965.83x = 4,146,753.80
  5. Step 5: Solve for x
    x = 4,146,753.80/1,965.83
  6. Step 6: Final answer
    x = 2,109.42

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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.