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Finding the Fourth Proportional to 5,289.64, 7,936.38 and 4,321.96

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Solution

The fourth proportional to 5,289.64, 7,936.38 and 4,321.96 is: 6,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.64 : 7,936.38 = 4,321.96 : x
  2. Step 2: Convert to fraction form
    5,289.64/7,936.38 = 4,321.96/x
  3. Step 3: Cross multiply
    5,289.64x = 7,936.38 × 4,321.96
  4. Step 4: Simplify right side
    5,289.64x = 34,300,716.90
  5. Step 5: Solve for x
    x = 34,300,716.90/5,289.64
  6. Step 6: Final answer
    x = 6,484.51

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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.