Home / 3,209.29-4,815.75-2,564.12

Finding the Fourth Proportional to 3,209.29, 4,815.75 and 2,564.12

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Solution

The fourth proportional to 3,209.29, 4,815.75 and 2,564.12 is: 3,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.29 : 4,815.75 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    3,209.29/4,815.75 = 2,564.12/x
  3. Step 3: Cross multiply
    3,209.29x = 4,815.75 × 2,564.12
  4. Step 4: Simplify right side
    3,209.29x = 12,348,182.54
  5. Step 5: Solve for x
    x = 12,348,182.54/3,209.29
  6. Step 6: Final answer
    x = 3,847.64

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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.