Home / 2,119.70-3,180.76-821.27

Finding the Fourth Proportional to 2,119.70, 3,180.76 and 821.27

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Solution

The fourth proportional to 2,119.70, 3,180.76 and 821.27 is: 1,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.70 : 3,180.76 = 821.27 : x
  2. Step 2: Convert to fraction form
    2,119.70/3,180.76 = 821.27/x
  3. Step 3: Cross multiply
    2,119.70x = 3,180.76 × 821.27
  4. Step 4: Simplify right side
    2,119.70x = 2,612,244.81
  5. Step 5: Solve for x
    x = 2,612,244.81/2,119.70
  6. Step 6: Final answer
    x = 1,232.37

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1.5x scale

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.