Home / 5,180-7,148.45-2,822.18

Finding the Fourth Proportional to 5,180, 7,148.45 and 2,822.18

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Solution

The fourth proportional to 5,180, 7,148.45 and 2,822.18 is: 3,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 7,148.45 = 2,822.18 : x
  2. Step 2: Convert to fraction form
    5,180/7,148.45 = 2,822.18/x
  3. Step 3: Cross multiply
    5,180x = 7,148.45 × 2,822.18
  4. Step 4: Simplify right side
    5,180x = 20,174,212.62
  5. Step 5: Solve for x
    x = 20,174,212.62/5,180
  6. Step 6: Final answer
    x = 3,894.64

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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.