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Finding the Fourth Proportional to 1,722.56, 2,579.73 and 941.39

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Solution

The fourth proportional to 1,722.56, 2,579.73 and 941.39 is: 1,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.56 : 2,579.73 = 941.39 : x
  2. Step 2: Convert to fraction form
    1,722.56/2,579.73 = 941.39/x
  3. Step 3: Cross multiply
    1,722.56x = 2,579.73 × 941.39
  4. Step 4: Simplify right side
    1,722.56x = 2,428,525.58
  5. Step 5: Solve for x
    x = 2,428,525.58/1,722.56
  6. Step 6: Final answer
    x = 1,409.84

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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.