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Finding the Fourth Proportional to 11,577.76, 17,342.79 and 8,619.23

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Solution

The fourth proportional to 11,577.76, 17,342.79 and 8,619.23 is: 12,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.76 : 17,342.79 = 8,619.23 : x
  2. Step 2: Convert to fraction form
    11,577.76/17,342.79 = 8,619.23/x
  3. Step 3: Cross multiply
    11,577.76x = 17,342.79 × 8,619.23
  4. Step 4: Simplify right side
    11,577.76x = 149,481,495.85
  5. Step 5: Solve for x
    x = 149,481,495.85/11,577.76
  6. Step 6: Final answer
    x = 12,911.09

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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.