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Finding the Fourth Proportional to 3,956.78, 5,929.86 and 3,080.36

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Solution

The fourth proportional to 3,956.78, 5,929.86 and 3,080.36 is: 4,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.78 : 5,929.86 = 3,080.36 : x
  2. Step 2: Convert to fraction form
    3,956.78/5,929.86 = 3,080.36/x
  3. Step 3: Cross multiply
    3,956.78x = 5,929.86 × 3,080.36
  4. Step 4: Simplify right side
    3,956.78x = 18,266,103.55
  5. Step 5: Solve for x
    x = 18,266,103.55/3,956.78
  6. Step 6: Final answer
    x = 4,616.41

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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.