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Finding the Fourth Proportional to 11,103.80, 16,663.80 and 7,823.30

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Solution

The fourth proportional to 11,103.80, 16,663.80 and 7,823.30 is: 11,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.80 : 16,663.80 = 7,823.30 : x
  2. Step 2: Convert to fraction form
    11,103.80/16,663.80 = 7,823.30/x
  3. Step 3: Cross multiply
    11,103.80x = 16,663.80 × 7,823.30
  4. Step 4: Simplify right side
    11,103.80x = 130,365,906.54
  5. Step 5: Solve for x
    x = 130,365,906.54/11,103.80
  6. Step 6: Final answer
    x = 11,740.66

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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.