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Finding the Fourth Proportional to 13,101, 18,079.92 and 7,512

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Solution

The fourth proportional to 13,101, 18,079.92 and 7,512 is: 10,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101 : 18,079.92 = 7,512 : x
  2. Step 2: Convert to fraction form
    13,101/18,079.92 = 7,512/x
  3. Step 3: Cross multiply
    13,101x = 18,079.92 × 7,512
  4. Step 4: Simplify right side
    13,101x = 135,816,359.04
  5. Step 5: Solve for x
    x = 135,816,359.04/13,101
  6. Step 6: Final answer
    x = 10,366.87

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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.