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Finding the Fourth Proportional to 5,645.72, 7,791.54 and 3,287

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Solution

The fourth proportional to 5,645.72, 7,791.54 and 3,287 is: 4,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.72 : 7,791.54 = 3,287 : x
  2. Step 2: Convert to fraction form
    5,645.72/7,791.54 = 3,287/x
  3. Step 3: Cross multiply
    5,645.72x = 7,791.54 × 3,287
  4. Step 4: Simplify right side
    5,645.72x = 25,610,791.98
  5. Step 5: Solve for x
    x = 25,610,791.98/5,645.72
  6. Step 6: Final answer
    x = 4,536.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.