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Finding the Fourth Proportional to 9,198.75, 13,800.30 and 3,042.75

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Solution

The fourth proportional to 9,198.75, 13,800.30 and 3,042.75 is: 4,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.75 : 13,800.30 = 3,042.75 : x
  2. Step 2: Convert to fraction form
    9,198.75/13,800.30 = 3,042.75/x
  3. Step 3: Cross multiply
    9,198.75x = 13,800.30 × 3,042.75
  4. Step 4: Simplify right side
    9,198.75x = 41,990,862.83
  5. Step 5: Solve for x
    x = 41,990,862.83/9,198.75
  6. Step 6: Final answer
    x = 4,564.84

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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.