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Finding the Fourth Proportional to 1,961.75, 2,956.12 and 1,622.72

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Solution

The fourth proportional to 1,961.75, 2,956.12 and 1,622.72 is: 2,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.75 : 2,956.12 = 1,622.72 : x
  2. Step 2: Convert to fraction form
    1,961.75/2,956.12 = 1,622.72/x
  3. Step 3: Cross multiply
    1,961.75x = 2,956.12 × 1,622.72
  4. Step 4: Simplify right side
    1,961.75x = 4,796,953.16
  5. Step 5: Solve for x
    x = 4,796,953.16/1,961.75
  6. Step 6: Final answer
    x = 2,445.24

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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.