Home / 5,112.76-7,668.32-1,414.30

Finding the Fourth Proportional to 5,112.76, 7,668.32 and 1,414.30

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Solution

The fourth proportional to 5,112.76, 7,668.32 and 1,414.30 is: 2,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.76 : 7,668.32 = 1,414.30 : x
  2. Step 2: Convert to fraction form
    5,112.76/7,668.32 = 1,414.30/x
  3. Step 3: Cross multiply
    5,112.76x = 7,668.32 × 1,414.30
  4. Step 4: Simplify right side
    5,112.76x = 10,845,304.98
  5. Step 5: Solve for x
    x = 10,845,304.98/5,112.76
  6. Step 6: Final answer
    x = 2,121.22

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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.