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Finding the Fourth Proportional to 2,977.92, 4,108.68 and 1,930.68

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Solution

The fourth proportional to 2,977.92, 4,108.68 and 1,930.68 is: 2,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.92 : 4,108.68 = 1,930.68 : x
  2. Step 2: Convert to fraction form
    2,977.92/4,108.68 = 1,930.68/x
  3. Step 3: Cross multiply
    2,977.92x = 4,108.68 × 1,930.68
  4. Step 4: Simplify right side
    2,977.92x = 7,932,546.30
  5. Step 5: Solve for x
    x = 7,932,546.30/2,977.92
  6. Step 6: Final answer
    x = 2,663.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.