Home / 7,822.80-11,734.24-3,144.96

Finding the Fourth Proportional to 7,822.80, 11,734.24 and 3,144.96

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Solution

The fourth proportional to 7,822.80, 11,734.24 and 3,144.96 is: 4,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.80 : 11,734.24 = 3,144.96 : x
  2. Step 2: Convert to fraction form
    7,822.80/11,734.24 = 3,144.96/x
  3. Step 3: Cross multiply
    7,822.80x = 11,734.24 × 3,144.96
  4. Step 4: Simplify right side
    7,822.80x = 36,903,715.43
  5. Step 5: Solve for x
    x = 36,903,715.43/7,822.80
  6. Step 6: Final answer
    x = 4,717.46

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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.