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Finding the Fourth Proportional to 13,324.12, 18,392.76 and 9,089.16

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Solution

The fourth proportional to 13,324.12, 18,392.76 and 9,089.16 is: 12,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.12 : 18,392.76 = 9,089.16 : x
  2. Step 2: Convert to fraction form
    13,324.12/18,392.76 = 9,089.16/x
  3. Step 3: Cross multiply
    13,324.12x = 18,392.76 × 9,089.16
  4. Step 4: Simplify right side
    13,324.12x = 167,174,738.48
  5. Step 5: Solve for x
    x = 167,174,738.48/13,324.12
  6. Step 6: Final answer
    x = 12,546.78

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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.