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Finding the Fourth Proportional to 9,289.62, 13,936.86 and 5,390.28

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Solution

The fourth proportional to 9,289.62, 13,936.86 and 5,390.28 is: 8,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.62 : 13,936.86 = 5,390.28 : x
  2. Step 2: Convert to fraction form
    9,289.62/13,936.86 = 5,390.28/x
  3. Step 3: Cross multiply
    9,289.62x = 13,936.86 × 5,390.28
  4. Step 4: Simplify right side
    9,289.62x = 75,123,577.72
  5. Step 5: Solve for x
    x = 75,123,577.72/9,289.62
  6. Step 6: Final answer
    x = 8,086.83

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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.