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Finding the Fourth Proportional to 1,963.43, 2,710.83 and 1,218.43

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Solution

The fourth proportional to 1,963.43, 2,710.83 and 1,218.43 is: 1,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.43 : 2,710.83 = 1,218.43 : x
  2. Step 2: Convert to fraction form
    1,963.43/2,710.83 = 1,218.43/x
  3. Step 3: Cross multiply
    1,963.43x = 2,710.83 × 1,218.43
  4. Step 4: Simplify right side
    1,963.43x = 3,302,956.60
  5. Step 5: Solve for x
    x = 3,302,956.60/1,963.43
  6. Step 6: Final answer
    x = 1,682.24

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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.