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Finding the Fourth Proportional to 18,506.28, 27,739.92 and 7,973.82

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Solution

The fourth proportional to 18,506.28, 27,739.92 and 7,973.82 is: 11,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.28 : 27,739.92 = 7,973.82 : x
  2. Step 2: Convert to fraction form
    18,506.28/27,739.92 = 7,973.82/x
  3. Step 3: Cross multiply
    18,506.28x = 27,739.92 × 7,973.82
  4. Step 4: Simplify right side
    18,506.28x = 221,193,128.89
  5. Step 5: Solve for x
    x = 221,193,128.89/18,506.28
  6. Step 6: Final answer
    x = 11,952.33

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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.