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Finding the Fourth Proportional to 13,170.34, 18,174.94 and 7,201.95

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Solution

The fourth proportional to 13,170.34, 18,174.94 and 7,201.95 is: 9,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.34 : 18,174.94 = 7,201.95 : x
  2. Step 2: Convert to fraction form
    13,170.34/18,174.94 = 7,201.95/x
  3. Step 3: Cross multiply
    13,170.34x = 18,174.94 × 7,201.95
  4. Step 4: Simplify right side
    13,170.34x = 130,895,009.13
  5. Step 5: Solve for x
    x = 130,895,009.13/13,170.34
  6. Step 6: Final answer
    x = 9,938.62

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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.