Home / 1,321.69-1,823.11-850.20

Finding the Fourth Proportional to 1,321.69, 1,823.11 and 850.20

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Solution

The fourth proportional to 1,321.69, 1,823.11 and 850.20 is: 1,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.69 : 1,823.11 = 850.20 : x
  2. Step 2: Convert to fraction form
    1,321.69/1,823.11 = 850.20/x
  3. Step 3: Cross multiply
    1,321.69x = 1,823.11 × 850.20
  4. Step 4: Simplify right side
    1,321.69x = 1,550,006.85
  5. Step 5: Solve for x
    x = 1,550,006.85/1,321.69
  6. Step 6: Final answer
    x = 1,172.75

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1.5x scale

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.