Home / 2,201.22-3,301.67-814.30

Finding the Fourth Proportional to 2,201.22, 3,301.67 and 814.30

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Solution

The fourth proportional to 2,201.22, 3,301.67 and 814.30 is: 1,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.22 : 3,301.67 = 814.30 : x
  2. Step 2: Convert to fraction form
    2,201.22/3,301.67 = 814.30/x
  3. Step 3: Cross multiply
    2,201.22x = 3,301.67 × 814.30
  4. Step 4: Simplify right side
    2,201.22x = 2,688,543.66
  5. Step 5: Solve for x
    x = 2,688,543.66/2,201.22
  6. Step 6: Final answer
    x = 1,221.39

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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.