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Finding the Fourth Proportional to 1,930.78, 2,896.29 and 681.21

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Solution

The fourth proportional to 1,930.78, 2,896.29 and 681.21 is: 1,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.78 : 2,896.29 = 681.21 : x
  2. Step 2: Convert to fraction form
    1,930.78/2,896.29 = 681.21/x
  3. Step 3: Cross multiply
    1,930.78x = 2,896.29 × 681.21
  4. Step 4: Simplify right side
    1,930.78x = 1,972,985.55
  5. Step 5: Solve for x
    x = 1,972,985.55/1,930.78
  6. Step 6: Final answer
    x = 1,021.86

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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.