Home / 2,200.02-3,301.32-814.32

Finding the Fourth Proportional to 2,200.02, 3,301.32 and 814.32

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Solution

The fourth proportional to 2,200.02, 3,301.32 and 814.32 is: 1,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.02 : 3,301.32 = 814.32 : x
  2. Step 2: Convert to fraction form
    2,200.02/3,301.32 = 814.32/x
  3. Step 3: Cross multiply
    2,200.02x = 3,301.32 × 814.32
  4. Step 4: Simplify right side
    2,200.02x = 2,688,330.90
  5. Step 5: Solve for x
    x = 2,688,330.90/2,200.02
  6. Step 6: Final answer
    x = 1,221.96

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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.