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Finding the Fourth Proportional to 1,958.76, 2,930.93 and 1,179.23

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Solution

The fourth proportional to 1,958.76, 2,930.93 and 1,179.23 is: 1,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.76 : 2,930.93 = 1,179.23 : x
  2. Step 2: Convert to fraction form
    1,958.76/2,930.93 = 1,179.23/x
  3. Step 3: Cross multiply
    1,958.76x = 2,930.93 × 1,179.23
  4. Step 4: Simplify right side
    1,958.76x = 3,456,242.02
  5. Step 5: Solve for x
    x = 3,456,242.02/1,958.76
  6. Step 6: Final answer
    x = 1,764.51

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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.