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Finding the Fourth Proportional to 8,992.80, 13,489.21 and 2,419.65

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Solution

The fourth proportional to 8,992.80, 13,489.21 and 2,419.65 is: 3,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.80 : 13,489.21 = 2,419.65 : x
  2. Step 2: Convert to fraction form
    8,992.80/13,489.21 = 2,419.65/x
  3. Step 3: Cross multiply
    8,992.80x = 13,489.21 × 2,419.65
  4. Step 4: Simplify right side
    8,992.80x = 32,639,220.59
  5. Step 5: Solve for x
    x = 32,639,220.59/8,992.80
  6. Step 6: Final answer
    x = 3,629.48

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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.