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Finding the Fourth Proportional to 13,170.52, 18,175.11 and 7,202.06

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Solution

The fourth proportional to 13,170.52, 18,175.11 and 7,202.06 is: 9,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.52 : 18,175.11 = 7,202.06 : x
  2. Step 2: Convert to fraction form
    13,170.52/18,175.11 = 7,202.06/x
  3. Step 3: Cross multiply
    13,170.52x = 18,175.11 × 7,202.06
  4. Step 4: Simplify right side
    13,170.52x = 130,898,305.49
  5. Step 5: Solve for x
    x = 130,898,305.49/13,170.52
  6. Step 6: Final answer
    x = 9,938.73

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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.