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Finding the Fourth Proportional to 1,946.38, 2,920.73 and 776.94

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Solution

The fourth proportional to 1,946.38, 2,920.73 and 776.94 is: 1,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.38 : 2,920.73 = 776.94 : x
  2. Step 2: Convert to fraction form
    1,946.38/2,920.73 = 776.94/x
  3. Step 3: Cross multiply
    1,946.38x = 2,920.73 × 776.94
  4. Step 4: Simplify right side
    1,946.38x = 2,269,231.97
  5. Step 5: Solve for x
    x = 2,269,231.97/1,946.38
  6. Step 6: Final answer
    x = 1,165.87

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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.