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Finding the Fourth Proportional to 13,538.88, 18,678.24 and 8,568

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Solution

The fourth proportional to 13,538.88, 18,678.24 and 8,568 is: 11,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.88 : 18,678.24 = 8,568 : x
  2. Step 2: Convert to fraction form
    13,538.88/18,678.24 = 8,568/x
  3. Step 3: Cross multiply
    13,538.88x = 18,678.24 × 8,568
  4. Step 4: Simplify right side
    13,538.88x = 160,035,160.32
  5. Step 5: Solve for x
    x = 160,035,160.32/13,538.88
  6. Step 6: Final answer
    x = 11,820.41

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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.