Home / 5,197-7,792.62-2,272.36

Finding the Fourth Proportional to 5,197, 7,792.62 and 2,272.36

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Solution

The fourth proportional to 5,197, 7,792.62 and 2,272.36 is: 3,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 7,792.62 = 2,272.36 : x
  2. Step 2: Convert to fraction form
    5,197/7,792.62 = 2,272.36/x
  3. Step 3: Cross multiply
    5,197x = 7,792.62 × 2,272.36
  4. Step 4: Simplify right side
    5,197x = 17,707,637.98
  5. Step 5: Solve for x
    x = 17,707,637.98/5,197
  6. Step 6: Final answer
    x = 3,407.28

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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.