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Finding the Fourth Proportional to 13,002, 17,935.47 and 7,968.66

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Solution

The fourth proportional to 13,002, 17,935.47 and 7,968.66 is: 10,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002 : 17,935.47 = 7,968.66 : x
  2. Step 2: Convert to fraction form
    13,002/17,935.47 = 7,968.66/x
  3. Step 3: Cross multiply
    13,002x = 17,935.47 × 7,968.66
  4. Step 4: Simplify right side
    13,002x = 142,921,662.37
  5. Step 5: Solve for x
    x = 142,921,662.37/13,002
  6. Step 6: Final answer
    x = 10,992.28

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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.