Home / 8,204.24-12,306.36-3,823

Finding the Fourth Proportional to 8,204.24, 12,306.36 and 3,823

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Solution

The fourth proportional to 8,204.24, 12,306.36 and 3,823 is: 5,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.24 : 12,306.36 = 3,823 : x
  2. Step 2: Convert to fraction form
    8,204.24/12,306.36 = 3,823/x
  3. Step 3: Cross multiply
    8,204.24x = 12,306.36 × 3,823
  4. Step 4: Simplify right side
    8,204.24x = 47,047,214.28
  5. Step 5: Solve for x
    x = 47,047,214.28/8,204.24
  6. Step 6: Final answer
    x = 5,734.50

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1.5x scale

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.