Home / 10,222.80-15,333.84-2,828.04

Finding the Fourth Proportional to 10,222.80, 15,333.84 and 2,828.04

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Solution

The fourth proportional to 10,222.80, 15,333.84 and 2,828.04 is: 4,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.80 : 15,333.84 = 2,828.04 : x
  2. Step 2: Convert to fraction form
    10,222.80/15,333.84 = 2,828.04/x
  3. Step 3: Cross multiply
    10,222.80x = 15,333.84 × 2,828.04
  4. Step 4: Simplify right side
    10,222.80x = 43,364,712.87
  5. Step 5: Solve for x
    x = 43,364,712.87/10,222.80
  6. Step 6: Final answer
    x = 4,241.96

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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.