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Finding the Fourth Proportional to 19,425, 26,791.92 and 13,466.64

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Solution

The fourth proportional to 19,425, 26,791.92 and 13,466.64 is: 18,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425 : 26,791.92 = 13,466.64 : x
  2. Step 2: Convert to fraction form
    19,425/26,791.92 = 13,466.64/x
  3. Step 3: Cross multiply
    19,425x = 26,791.92 × 13,466.64
  4. Step 4: Simplify right side
    19,425x = 360,797,141.55
  5. Step 5: Solve for x
    x = 360,797,141.55/19,425
  6. Step 6: Final answer
    x = 18,573.86

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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.