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Finding the Fourth Proportional to 5,390.35, 8,094.03 and 3,208.82

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Solution

The fourth proportional to 5,390.35, 8,094.03 and 3,208.82 is: 4,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.35 : 8,094.03 = 3,208.82 : x
  2. Step 2: Convert to fraction form
    5,390.35/8,094.03 = 3,208.82/x
  3. Step 3: Cross multiply
    5,390.35x = 8,094.03 × 3,208.82
  4. Step 4: Simplify right side
    5,390.35x = 25,972,285.34
  5. Step 5: Solve for x
    x = 25,972,285.34/5,390.35
  6. Step 6: Final answer
    x = 4,818.29

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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.