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Finding the Fourth Proportional to 5,390.94, 8,086.08 and 3,171

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Solution

The fourth proportional to 5,390.94, 8,086.08 and 3,171 is: 4,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.94 : 8,086.08 = 3,171 : x
  2. Step 2: Convert to fraction form
    5,390.94/8,086.08 = 3,171/x
  3. Step 3: Cross multiply
    5,390.94x = 8,086.08 × 3,171
  4. Step 4: Simplify right side
    5,390.94x = 25,640,959.68
  5. Step 5: Solve for x
    x = 25,640,959.68/5,390.94
  6. Step 6: Final answer
    x = 4,756.31

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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.