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Finding the Fourth Proportional to 11,670.81, 17,495.68 and 7,923.85

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Solution

The fourth proportional to 11,670.81, 17,495.68 and 7,923.85 is: 11,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.81 : 17,495.68 = 7,923.85 : x
  2. Step 2: Convert to fraction form
    11,670.81/17,495.68 = 7,923.85/x
  3. Step 3: Cross multiply
    11,670.81x = 17,495.68 × 7,923.85
  4. Step 4: Simplify right side
    11,670.81x = 138,633,143.97
  5. Step 5: Solve for x
    x = 138,633,143.97/11,670.81
  6. Step 6: Final answer
    x = 11,878.62

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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.