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Finding the Fourth Proportional to 8,209.42, 12,319.53 and 3,015.34

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Solution

The fourth proportional to 8,209.42, 12,319.53 and 3,015.34 is: 4,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.42 : 12,319.53 = 3,015.34 : x
  2. Step 2: Convert to fraction form
    8,209.42/12,319.53 = 3,015.34/x
  3. Step 3: Cross multiply
    8,209.42x = 12,319.53 × 3,015.34
  4. Step 4: Simplify right side
    8,209.42x = 37,147,571.59
  5. Step 5: Solve for x
    x = 37,147,571.59/8,209.42
  6. Step 6: Final answer
    x = 4,524.99

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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.