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Finding the Fourth Proportional to 3,953.07, 5,929.39 and 2,005.22

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Solution

The fourth proportional to 3,953.07, 5,929.39 and 2,005.22 is: 3,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.07 : 5,929.39 = 2,005.22 : x
  2. Step 2: Convert to fraction form
    3,953.07/5,929.39 = 2,005.22/x
  3. Step 3: Cross multiply
    3,953.07x = 5,929.39 × 2,005.22
  4. Step 4: Simplify right side
    3,953.07x = 11,889,748.75
  5. Step 5: Solve for x
    x = 11,889,748.75/3,953.07
  6. Step 6: Final answer
    x = 3,007.73

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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.