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Finding the Fourth Proportional to 21,326.82, 31,976.52 and 8,855.45

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Solution

The fourth proportional to 21,326.82, 31,976.52 and 8,855.45 is: 13,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,326.82 : 31,976.52 = 8,855.45 : x
  2. Step 2: Convert to fraction form
    21,326.82/31,976.52 = 8,855.45/x
  3. Step 3: Cross multiply
    21,326.82x = 31,976.52 × 8,855.45
  4. Step 4: Simplify right side
    21,326.82x = 283,166,474.03
  5. Step 5: Solve for x
    x = 283,166,474.03/21,326.82
  6. Step 6: Final answer
    x = 13,277.49

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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.