Home / 4,212-5,812.56-2,972.16

Finding the Fourth Proportional to 4,212, 5,812.56 and 2,972.16

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Solution

The fourth proportional to 4,212, 5,812.56 and 2,972.16 is: 4,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 5,812.56 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    4,212/5,812.56 = 2,972.16/x
  3. Step 3: Cross multiply
    4,212x = 5,812.56 × 2,972.16
  4. Step 4: Simplify right side
    4,212x = 17,275,858.33
  5. Step 5: Solve for x
    x = 17,275,858.33/4,212
  6. Step 6: Final answer
    x = 4,101.58

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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.