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Finding the Fourth Proportional to 8,154, 11,245.31 and 5,505

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Solution

The fourth proportional to 8,154, 11,245.31 and 5,505 is: 7,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 11,245.31 = 5,505 : x
  2. Step 2: Convert to fraction form
    8,154/11,245.31 = 5,505/x
  3. Step 3: Cross multiply
    8,154x = 11,245.31 × 5,505
  4. Step 4: Simplify right side
    8,154x = 61,905,404.03
  5. Step 5: Solve for x
    x = 61,905,404.03/8,154
  6. Step 6: Final answer
    x = 7,592.03

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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.