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Finding the Fourth Proportional to 3,929.70, 5,894.96 and 1,296.44

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Solution

The fourth proportional to 3,929.70, 5,894.96 and 1,296.44 is: 1,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.70 : 5,894.96 = 1,296.44 : x
  2. Step 2: Convert to fraction form
    3,929.70/5,894.96 = 1,296.44/x
  3. Step 3: Cross multiply
    3,929.70x = 5,894.96 × 1,296.44
  4. Step 4: Simplify right side
    3,929.70x = 7,642,425.99
  5. Step 5: Solve for x
    x = 7,642,425.99/3,929.70
  6. Step 6: Final answer
    x = 1,944.79

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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.