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Finding the Fourth Proportional to 21,188, 29,239.44 and 13,736

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Solution

The fourth proportional to 21,188, 29,239.44 and 13,736 is: 18,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188 : 29,239.44 = 13,736 : x
  2. Step 2: Convert to fraction form
    21,188/29,239.44 = 13,736/x
  3. Step 3: Cross multiply
    21,188x = 29,239.44 × 13,736
  4. Step 4: Simplify right side
    21,188x = 401,632,947.84
  5. Step 5: Solve for x
    x = 401,632,947.84/21,188
  6. Step 6: Final answer
    x = 18,955.68

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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.