Home / 2,202.13-3,300.86-814.57

Finding the Fourth Proportional to 2,202.13, 3,300.86 and 814.57

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Solution

The fourth proportional to 2,202.13, 3,300.86 and 814.57 is: 1,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.13 : 3,300.86 = 814.57 : x
  2. Step 2: Convert to fraction form
    2,202.13/3,300.86 = 814.57/x
  3. Step 3: Cross multiply
    2,202.13x = 3,300.86 × 814.57
  4. Step 4: Simplify right side
    2,202.13x = 2,688,781.53
  5. Step 5: Solve for x
    x = 2,688,781.53/2,202.13
  6. Step 6: Final answer
    x = 1,220.99

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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.