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Finding the Fourth Proportional to 2,528.71, 3,791.65 and 1,942.25

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Solution

The fourth proportional to 2,528.71, 3,791.65 and 1,942.25 is: 2,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.71 : 3,791.65 = 1,942.25 : x
  2. Step 2: Convert to fraction form
    2,528.71/3,791.65 = 1,942.25/x
  3. Step 3: Cross multiply
    2,528.71x = 3,791.65 × 1,942.25
  4. Step 4: Simplify right side
    2,528.71x = 7,364,332.21
  5. Step 5: Solve for x
    x = 7,364,332.21/2,528.71
  6. Step 6: Final answer
    x = 2,912.29

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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.