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Finding the Fourth Proportional to 13,754.56, 18,975.36 and 9,156.64

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Solution

The fourth proportional to 13,754.56, 18,975.36 and 9,156.64 is: 12,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.56 : 18,975.36 = 9,156.64 : x
  2. Step 2: Convert to fraction form
    13,754.56/18,975.36 = 9,156.64/x
  3. Step 3: Cross multiply
    13,754.56x = 18,975.36 × 9,156.64
  4. Step 4: Simplify right side
    13,754.56x = 173,750,540.39
  5. Step 5: Solve for x
    x = 173,750,540.39/13,754.56
  6. Step 6: Final answer
    x = 12,632.21

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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.