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Finding the Fourth Proportional to 3,672.26, 5,509.31 and 1,722.19

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Solution

The fourth proportional to 3,672.26, 5,509.31 and 1,722.19 is: 2,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.26 : 5,509.31 = 1,722.19 : x
  2. Step 2: Convert to fraction form
    3,672.26/5,509.31 = 1,722.19/x
  3. Step 3: Cross multiply
    3,672.26x = 5,509.31 × 1,722.19
  4. Step 4: Simplify right side
    3,672.26x = 9,488,056.20
  5. Step 5: Solve for x
    x = 9,488,056.20/3,672.26
  6. Step 6: Final answer
    x = 2,583.71

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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.