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Finding the Fourth Proportional to 11,660.98, 17,485.64 and 6,921.98

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Solution

The fourth proportional to 11,660.98, 17,485.64 and 6,921.98 is: 10,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.98 : 17,485.64 = 6,921.98 : x
  2. Step 2: Convert to fraction form
    11,660.98/17,485.64 = 6,921.98/x
  3. Step 3: Cross multiply
    11,660.98x = 17,485.64 × 6,921.98
  4. Step 4: Simplify right side
    11,660.98x = 121,035,250.37
  5. Step 5: Solve for x
    x = 121,035,250.37/11,660.98
  6. Step 6: Final answer
    x = 10,379.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.