Home / 1,412.09-2,121.38-996.57

Finding the Fourth Proportional to 1,412.09, 2,121.38 and 996.57

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Solution

The fourth proportional to 1,412.09, 2,121.38 and 996.57 is: 1,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.09 : 2,121.38 = 996.57 : x
  2. Step 2: Convert to fraction form
    1,412.09/2,121.38 = 996.57/x
  3. Step 3: Cross multiply
    1,412.09x = 2,121.38 × 996.57
  4. Step 4: Simplify right side
    1,412.09x = 2,114,098.68
  5. Step 5: Solve for x
    x = 2,114,098.68/1,412.09
  6. Step 6: Final answer
    x = 1,497.15

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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.