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Finding the Fourth Proportional to 1,930.85, 2,896.88 and 835.73

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Solution

The fourth proportional to 1,930.85, 2,896.88 and 835.73 is: 1,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.85 : 2,896.88 = 835.73 : x
  2. Step 2: Convert to fraction form
    1,930.85/2,896.88 = 835.73/x
  3. Step 3: Cross multiply
    1,930.85x = 2,896.88 × 835.73
  4. Step 4: Simplify right side
    1,930.85x = 2,421,009.52
  5. Step 5: Solve for x
    x = 2,421,009.52/1,930.85
  6. Step 6: Final answer
    x = 1,253.86

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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.