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Finding the Fourth Proportional to 1,930, 2,896.32 and 834.49

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Solution

The fourth proportional to 1,930, 2,896.32 and 834.49 is: 1,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930 : 2,896.32 = 834.49 : x
  2. Step 2: Convert to fraction form
    1,930/2,896.32 = 834.49/x
  3. Step 3: Cross multiply
    1,930x = 2,896.32 × 834.49
  4. Step 4: Simplify right side
    1,930x = 2,416,950.08
  5. Step 5: Solve for x
    x = 2,416,950.08/1,930
  6. Step 6: Final answer
    x = 1,252.31

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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.