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Finding the Fourth Proportional to 1,963.27, 2,942.76 and 922.46

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Solution

The fourth proportional to 1,963.27, 2,942.76 and 922.46 is: 1,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.27 : 2,942.76 = 922.46 : x
  2. Step 2: Convert to fraction form
    1,963.27/2,942.76 = 922.46/x
  3. Step 3: Cross multiply
    1,963.27x = 2,942.76 × 922.46
  4. Step 4: Simplify right side
    1,963.27x = 2,714,567.14
  5. Step 5: Solve for x
    x = 2,714,567.14/1,963.27
  6. Step 6: Final answer
    x = 1,382.68

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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.