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Finding the Fourth Proportional to 12,135, 18,200.46 and 3,370.80

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Solution

The fourth proportional to 12,135, 18,200.46 and 3,370.80 is: 5,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135 : 18,200.46 = 3,370.80 : x
  2. Step 2: Convert to fraction form
    12,135/18,200.46 = 3,370.80/x
  3. Step 3: Cross multiply
    12,135x = 18,200.46 × 3,370.80
  4. Step 4: Simplify right side
    12,135x = 61,350,110.57
  5. Step 5: Solve for x
    x = 61,350,110.57/12,135
  6. Step 6: Final answer
    x = 5,055.63

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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.