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Finding the Fourth Proportional to 8,150.41, 12,213.62 and 3,642

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Solution

The fourth proportional to 8,150.41, 12,213.62 and 3,642 is: 5,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.41 : 12,213.62 = 3,642 : x
  2. Step 2: Convert to fraction form
    8,150.41/12,213.62 = 3,642/x
  3. Step 3: Cross multiply
    8,150.41x = 12,213.62 × 3,642
  4. Step 4: Simplify right side
    8,150.41x = 44,482,004.04
  5. Step 5: Solve for x
    x = 44,482,004.04/8,150.41
  6. Step 6: Final answer
    x = 5,457.64

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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.