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Finding the Fourth Proportional to 1,963.80, 2,956.41 and 1,695.96

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Solution

The fourth proportional to 1,963.80, 2,956.41 and 1,695.96 is: 2,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.80 : 2,956.41 = 1,695.96 : x
  2. Step 2: Convert to fraction form
    1,963.80/2,956.41 = 1,695.96/x
  3. Step 3: Cross multiply
    1,963.80x = 2,956.41 × 1,695.96
  4. Step 4: Simplify right side
    1,963.80x = 5,013,953.10
  5. Step 5: Solve for x
    x = 5,013,953.10/1,963.80
  6. Step 6: Final answer
    x = 2,553.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.