Home / 2,269.04-3,403.96-809.21

Finding the Fourth Proportional to 2,269.04, 3,403.96 and 809.21

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Solution

The fourth proportional to 2,269.04, 3,403.96 and 809.21 is: 1,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.04 : 3,403.96 = 809.21 : x
  2. Step 2: Convert to fraction form
    2,269.04/3,403.96 = 809.21/x
  3. Step 3: Cross multiply
    2,269.04x = 3,403.96 × 809.21
  4. Step 4: Simplify right side
    2,269.04x = 2,754,524.96
  5. Step 5: Solve for x
    x = 2,754,524.96/2,269.04
  6. Step 6: Final answer
    x = 1,213.96

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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.