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Finding the Fourth Proportional to 13,122, 18,108.36 and 8,409.02

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Solution

The fourth proportional to 13,122, 18,108.36 and 8,409.02 is: 11,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 18,108.36 = 8,409.02 : x
  2. Step 2: Convert to fraction form
    13,122/18,108.36 = 8,409.02/x
  3. Step 3: Cross multiply
    13,122x = 18,108.36 × 8,409.02
  4. Step 4: Simplify right side
    13,122x = 152,273,470.87
  5. Step 5: Solve for x
    x = 152,273,470.87/13,122
  6. Step 6: Final answer
    x = 11,604.44

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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.