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Finding the Fourth Proportional to 8,361.74, 12,529.64 and 3,427.22

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Solution

The fourth proportional to 8,361.74, 12,529.64 and 3,427.22 is: 5,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.74 : 12,529.64 = 3,427.22 : x
  2. Step 2: Convert to fraction form
    8,361.74/12,529.64 = 3,427.22/x
  3. Step 3: Cross multiply
    8,361.74x = 12,529.64 × 3,427.22
  4. Step 4: Simplify right side
    8,361.74x = 42,941,832.80
  5. Step 5: Solve for x
    x = 42,941,832.80/8,361.74
  6. Step 6: Final answer
    x = 5,135.51

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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.