Home / 3,209.54-4,814.28-2,564.37

Finding the Fourth Proportional to 3,209.54, 4,814.28 and 2,564.37

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Solution

The fourth proportional to 3,209.54, 4,814.28 and 2,564.37 is: 3,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.54 : 4,814.28 = 2,564.37 : x
  2. Step 2: Convert to fraction form
    3,209.54/4,814.28 = 2,564.37/x
  3. Step 3: Cross multiply
    3,209.54x = 4,814.28 × 2,564.37
  4. Step 4: Simplify right side
    3,209.54x = 12,345,595.20
  5. Step 5: Solve for x
    x = 12,345,595.20/3,209.54
  6. Step 6: Final answer
    x = 3,846.54

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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.