Home / 1,222.40-1,837.20-1,200.80

Finding the Fourth Proportional to 1,222.40, 1,837.20 and 1,200.80

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Solution

The fourth proportional to 1,222.40, 1,837.20 and 1,200.80 is: 1,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.40 : 1,837.20 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    1,222.40/1,837.20 = 1,200.80/x
  3. Step 3: Cross multiply
    1,222.40x = 1,837.20 × 1,200.80
  4. Step 4: Simplify right side
    1,222.40x = 2,206,109.76
  5. Step 5: Solve for x
    x = 2,206,109.76/1,222.40
  6. Step 6: Final answer
    x = 1,804.74

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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.