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Finding the Fourth Proportional to 20,578.72, 28,396.95 and 11,627

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Solution

The fourth proportional to 20,578.72, 28,396.95 and 11,627 is: 16,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.72 : 28,396.95 = 11,627 : x
  2. Step 2: Convert to fraction form
    20,578.72/28,396.95 = 11,627/x
  3. Step 3: Cross multiply
    20,578.72x = 28,396.95 × 11,627
  4. Step 4: Simplify right side
    20,578.72x = 330,171,337.65
  5. Step 5: Solve for x
    x = 330,171,337.65/20,578.72
  6. Step 6: Final answer
    x = 16,044.31

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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.