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Finding the Fourth Proportional to 1,960.87, 2,941.58 and 662.71

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Solution

The fourth proportional to 1,960.87, 2,941.58 and 662.71 is: 994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.87 : 2,941.58 = 662.71 : x
  2. Step 2: Convert to fraction form
    1,960.87/2,941.58 = 662.71/x
  3. Step 3: Cross multiply
    1,960.87x = 2,941.58 × 662.71
  4. Step 4: Simplify right side
    1,960.87x = 1,949,414.48
  5. Step 5: Solve for x
    x = 1,949,414.48/1,960.87
  6. Step 6: Final answer
    x = 994.16

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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.