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Finding the Fourth Proportional to 3,921.76, 5,889.48 and 3,381.76

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Solution

The fourth proportional to 3,921.76, 5,889.48 and 3,381.76 is: 5,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.76 : 5,889.48 = 3,381.76 : x
  2. Step 2: Convert to fraction form
    3,921.76/5,889.48 = 3,381.76/x
  3. Step 3: Cross multiply
    3,921.76x = 5,889.48 × 3,381.76
  4. Step 4: Simplify right side
    3,921.76x = 19,916,807.88
  5. Step 5: Solve for x
    x = 19,916,807.88/3,921.76
  6. Step 6: Final answer
    x = 5,078.54

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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.