Home / 3,209.49-4,814.23-2,564.33

Finding the Fourth Proportional to 3,209.49, 4,814.23 and 2,564.33

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Solution

The fourth proportional to 3,209.49, 4,814.23 and 2,564.33 is: 3,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.49 : 4,814.23 = 2,564.33 : x
  2. Step 2: Convert to fraction form
    3,209.49/4,814.23 = 2,564.33/x
  3. Step 3: Cross multiply
    3,209.49x = 4,814.23 × 2,564.33
  4. Step 4: Simplify right side
    3,209.49x = 12,345,274.42
  5. Step 5: Solve for x
    x = 12,345,274.42/3,209.49
  6. Step 6: Final answer
    x = 3,846.49

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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.