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Finding the Fourth Proportional to 8,290.08, 12,437.30 and 3,096

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Solution

The fourth proportional to 8,290.08, 12,437.30 and 3,096 is: 4,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.08 : 12,437.30 = 3,096 : x
  2. Step 2: Convert to fraction form
    8,290.08/12,437.30 = 3,096/x
  3. Step 3: Cross multiply
    8,290.08x = 12,437.30 × 3,096
  4. Step 4: Simplify right side
    8,290.08x = 38,505,880.80
  5. Step 5: Solve for x
    x = 38,505,880.80/8,290.08
  6. Step 6: Final answer
    x = 4,644.81

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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.