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Finding the Fourth Proportional to 13,096.35, 18,072.92 and 7,128

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Solution

The fourth proportional to 13,096.35, 18,072.92 and 7,128 is: 9,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.35 : 18,072.92 = 7,128 : x
  2. Step 2: Convert to fraction form
    13,096.35/18,072.92 = 7,128/x
  3. Step 3: Cross multiply
    13,096.35x = 18,072.92 × 7,128
  4. Step 4: Simplify right side
    13,096.35x = 128,823,791.58
  5. Step 5: Solve for x
    x = 128,823,791.58/13,096.35
  6. Step 6: Final answer
    x = 9,836.62

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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.