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Finding the Fourth Proportional to 2,614.80, 3,922.64 and 883.02

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Solution

The fourth proportional to 2,614.80, 3,922.64 and 883.02 is: 1,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.80 : 3,922.64 = 883.02 : x
  2. Step 2: Convert to fraction form
    2,614.80/3,922.64 = 883.02/x
  3. Step 3: Cross multiply
    2,614.80x = 3,922.64 × 883.02
  4. Step 4: Simplify right side
    2,614.80x = 3,463,769.57
  5. Step 5: Solve for x
    x = 3,463,769.57/2,614.80
  6. Step 6: Final answer
    x = 1,324.68

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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.