Home / 8,200.24-12,300.36-3,819

Finding the Fourth Proportional to 8,200.24, 12,300.36 and 3,819

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Solution

The fourth proportional to 8,200.24, 12,300.36 and 3,819 is: 5,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.24 : 12,300.36 = 3,819 : x
  2. Step 2: Convert to fraction form
    8,200.24/12,300.36 = 3,819/x
  3. Step 3: Cross multiply
    8,200.24x = 12,300.36 × 3,819
  4. Step 4: Simplify right side
    8,200.24x = 46,975,074.84
  5. Step 5: Solve for x
    x = 46,975,074.84/8,200.24
  6. Step 6: Final answer
    x = 5,728.50

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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.