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Finding the Fourth Proportional to 8,300.08, 12,446.82 and 4,138.60

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Solution

The fourth proportional to 8,300.08, 12,446.82 and 4,138.60 is: 6,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.08 : 12,446.82 = 4,138.60 : x
  2. Step 2: Convert to fraction form
    8,300.08/12,446.82 = 4,138.60/x
  3. Step 3: Cross multiply
    8,300.08x = 12,446.82 × 4,138.60
  4. Step 4: Simplify right side
    8,300.08x = 51,512,409.25
  5. Step 5: Solve for x
    x = 51,512,409.25/8,300.08
  6. Step 6: Final answer
    x = 6,206.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.