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Finding the Fourth Proportional to 1,961.46, 2,941.52 and 662.63

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Solution

The fourth proportional to 1,961.46, 2,941.52 and 662.63 is: 993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.46 : 2,941.52 = 662.63 : x
  2. Step 2: Convert to fraction form
    1,961.46/2,941.52 = 662.63/x
  3. Step 3: Cross multiply
    1,961.46x = 2,941.52 × 662.63
  4. Step 4: Simplify right side
    1,961.46x = 1,949,121.38
  5. Step 5: Solve for x
    x = 1,949,121.38/1,961.46
  6. Step 6: Final answer
    x = 993.71

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1.5x scale

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.