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Finding the Fourth Proportional to 8,361.99, 12,546.63 and 3,432.78

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Solution

The fourth proportional to 8,361.99, 12,546.63 and 3,432.78 is: 5,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.99 : 12,546.63 = 3,432.78 : x
  2. Step 2: Convert to fraction form
    8,361.99/12,546.63 = 3,432.78/x
  3. Step 3: Cross multiply
    8,361.99x = 12,546.63 × 3,432.78
  4. Step 4: Simplify right side
    8,361.99x = 43,069,820.53
  5. Step 5: Solve for x
    x = 43,069,820.53/8,361.99
  6. Step 6: Final answer
    x = 5,150.67

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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.