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Finding the Fourth Proportional to 2,528.42, 3,792.81 and 797

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Solution

The fourth proportional to 2,528.42, 3,792.81 and 797 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.42 : 3,792.81 = 797 : x
  2. Step 2: Convert to fraction form
    2,528.42/3,792.81 = 797/x
  3. Step 3: Cross multiply
    2,528.42x = 3,792.81 × 797
  4. Step 4: Simplify right side
    2,528.42x = 3,022,869.57
  5. Step 5: Solve for x
    x = 3,022,869.57/2,528.42
  6. Step 6: Final answer
    x = 1,195.56

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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.