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Finding the Fourth Proportional to 21,238.94, 31,843.24 and 9,987.98

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Solution

The fourth proportional to 21,238.94, 31,843.24 and 9,987.98 is: 14,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.94 : 31,843.24 = 9,987.98 : x
  2. Step 2: Convert to fraction form
    21,238.94/31,843.24 = 9,987.98/x
  3. Step 3: Cross multiply
    21,238.94x = 31,843.24 × 9,987.98
  4. Step 4: Simplify right side
    21,238.94x = 318,049,644.26
  5. Step 5: Solve for x
    x = 318,049,644.26/21,238.94
  6. Step 6: Final answer
    x = 14,974.84

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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.