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Finding the Fourth Proportional to 11,241.43, 16,849.01 and 8,459.15

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Solution

The fourth proportional to 11,241.43, 16,849.01 and 8,459.15 is: 12,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.43 : 16,849.01 = 8,459.15 : x
  2. Step 2: Convert to fraction form
    11,241.43/16,849.01 = 8,459.15/x
  3. Step 3: Cross multiply
    11,241.43x = 16,849.01 × 8,459.15
  4. Step 4: Simplify right side
    11,241.43x = 142,528,260.65
  5. Step 5: Solve for x
    x = 142,528,260.65/11,241.43
  6. Step 6: Final answer
    x = 12,678.84

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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.