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Finding the Fourth Proportional to 1,951.96, 2,930.14 and 1,221.96

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Solution

The fourth proportional to 1,951.96, 2,930.14 and 1,221.96 is: 1,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.96 : 2,930.14 = 1,221.96 : x
  2. Step 2: Convert to fraction form
    1,951.96/2,930.14 = 1,221.96/x
  3. Step 3: Cross multiply
    1,951.96x = 2,930.14 × 1,221.96
  4. Step 4: Simplify right side
    1,951.96x = 3,580,513.87
  5. Step 5: Solve for x
    x = 3,580,513.87/1,951.96
  6. Step 6: Final answer
    x = 1,834.32

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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.