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Finding the Fourth Proportional to 20,577.72, 28,395.57 and 11,626

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Solution

The fourth proportional to 20,577.72, 28,395.57 and 11,626 is: 16,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.72 : 28,395.57 = 11,626 : x
  2. Step 2: Convert to fraction form
    20,577.72/28,395.57 = 11,626/x
  3. Step 3: Cross multiply
    20,577.72x = 28,395.57 × 11,626
  4. Step 4: Simplify right side
    20,577.72x = 330,126,896.82
  5. Step 5: Solve for x
    x = 330,126,896.82/20,577.72
  6. Step 6: Final answer
    x = 16,042.93

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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.