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Finding the Fourth Proportional to 8,289.72, 12,437.28 and 3,096

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Solution

The fourth proportional to 8,289.72, 12,437.28 and 3,096 is: 4,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.72 : 12,437.28 = 3,096 : x
  2. Step 2: Convert to fraction form
    8,289.72/12,437.28 = 3,096/x
  3. Step 3: Cross multiply
    8,289.72x = 12,437.28 × 3,096
  4. Step 4: Simplify right side
    8,289.72x = 38,505,818.88
  5. Step 5: Solve for x
    x = 38,505,818.88/8,289.72
  6. Step 6: Final answer
    x = 4,645.01

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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.