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Finding the Fourth Proportional to 3,609.54, 5,406.10 and 2,824.65

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Solution

The fourth proportional to 3,609.54, 5,406.10 and 2,824.65 is: 4,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.54 : 5,406.10 = 2,824.65 : x
  2. Step 2: Convert to fraction form
    3,609.54/5,406.10 = 2,824.65/x
  3. Step 3: Cross multiply
    3,609.54x = 5,406.10 × 2,824.65
  4. Step 4: Simplify right side
    3,609.54x = 15,270,340.37
  5. Step 5: Solve for x
    x = 15,270,340.37/3,609.54
  6. Step 6: Final answer
    x = 4,230.55

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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.