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Finding the Fourth Proportional to 15,893.52, 21,855.24 and 13,794

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Solution

The fourth proportional to 15,893.52, 21,855.24 and 13,794 is: 18,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.52 : 21,855.24 = 13,794 : x
  2. Step 2: Convert to fraction form
    15,893.52/21,855.24 = 13,794/x
  3. Step 3: Cross multiply
    15,893.52x = 21,855.24 × 13,794
  4. Step 4: Simplify right side
    15,893.52x = 301,471,180.56
  5. Step 5: Solve for x
    x = 301,471,180.56/15,893.52
  6. Step 6: Final answer
    x = 18,968.18

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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.