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Finding the Fourth Proportional to 5,384.85, 7,431.78 and 3,027

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Solution

The fourth proportional to 5,384.85, 7,431.78 and 3,027 is: 4,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.85 : 7,431.78 = 3,027 : x
  2. Step 2: Convert to fraction form
    5,384.85/7,431.78 = 3,027/x
  3. Step 3: Cross multiply
    5,384.85x = 7,431.78 × 3,027
  4. Step 4: Simplify right side
    5,384.85x = 22,495,998.06
  5. Step 5: Solve for x
    x = 22,495,998.06/5,384.85
  6. Step 6: Final answer
    x = 4,177.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.