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Finding the Fourth Proportional to 21,129, 29,131.50 and 13,562

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Solution

The fourth proportional to 21,129, 29,131.50 and 13,562 is: 18,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129 : 29,131.50 = 13,562 : x
  2. Step 2: Convert to fraction form
    21,129/29,131.50 = 13,562/x
  3. Step 3: Cross multiply
    21,129x = 29,131.50 × 13,562
  4. Step 4: Simplify right side
    21,129x = 395,081,403
  5. Step 5: Solve for x
    x = 395,081,403/21,129
  6. Step 6: Final answer
    x = 18,698.54

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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.