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Finding the Fourth Proportional to 12,242, 16,893.96 and 6,653

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Solution

The fourth proportional to 12,242, 16,893.96 and 6,653 is: 9,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242 : 16,893.96 = 6,653 : x
  2. Step 2: Convert to fraction form
    12,242/16,893.96 = 6,653/x
  3. Step 3: Cross multiply
    12,242x = 16,893.96 × 6,653
  4. Step 4: Simplify right side
    12,242x = 112,395,515.88
  5. Step 5: Solve for x
    x = 112,395,515.88/12,242
  6. Step 6: Final answer
    x = 9,181.14

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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.