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Finding the Fourth Proportional to 1,722.22, 2,579.21 and 941.05

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Solution

The fourth proportional to 1,722.22, 2,579.21 and 941.05 is: 1,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.22 : 2,579.21 = 941.05 : x
  2. Step 2: Convert to fraction form
    1,722.22/2,579.21 = 941.05/x
  3. Step 3: Cross multiply
    1,722.22x = 2,579.21 × 941.05
  4. Step 4: Simplify right side
    1,722.22x = 2,427,167.62
  5. Step 5: Solve for x
    x = 2,427,167.62/1,722.22
  6. Step 6: Final answer
    x = 1,409.33

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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.