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Finding the Fourth Proportional to 2,930.72, 4,392.02 and 1,944.68

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Solution

The fourth proportional to 2,930.72, 4,392.02 and 1,944.68 is: 2,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.72 : 4,392.02 = 1,944.68 : x
  2. Step 2: Convert to fraction form
    2,930.72/4,392.02 = 1,944.68/x
  3. Step 3: Cross multiply
    2,930.72x = 4,392.02 × 1,944.68
  4. Step 4: Simplify right side
    2,930.72x = 8,541,073.45
  5. Step 5: Solve for x
    x = 8,541,073.45/2,930.72
  6. Step 6: Final answer
    x = 2,914.33

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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.