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Finding the Fourth Proportional to 2,930.40, 4,391.84 and 1,196.96

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Solution

The fourth proportional to 2,930.40, 4,391.84 and 1,196.96 is: 1,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.40 : 4,391.84 = 1,196.96 : x
  2. Step 2: Convert to fraction form
    2,930.40/4,391.84 = 1,196.96/x
  3. Step 3: Cross multiply
    2,930.40x = 4,391.84 × 1,196.96
  4. Step 4: Simplify right side
    2,930.40x = 5,256,856.81
  5. Step 5: Solve for x
    x = 5,256,856.81/2,930.40
  6. Step 6: Final answer
    x = 1,793.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.