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Finding the Fourth Proportional to 13,725.54, 18,942.18 and 8,350.06

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Solution

The fourth proportional to 13,725.54, 18,942.18 and 8,350.06 is: 11,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.54 : 18,942.18 = 8,350.06 : x
  2. Step 2: Convert to fraction form
    13,725.54/18,942.18 = 8,350.06/x
  3. Step 3: Cross multiply
    13,725.54x = 18,942.18 × 8,350.06
  4. Step 4: Simplify right side
    13,725.54x = 158,168,339.53
  5. Step 5: Solve for x
    x = 158,168,339.53/13,725.54
  6. Step 6: Final answer
    x = 11,523.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.