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Finding the Fourth Proportional to 17,991.21, 24,829.65 and 13,446

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Solution

The fourth proportional to 17,991.21, 24,829.65 and 13,446 is: 18,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,991.21 : 24,829.65 = 13,446 : x
  2. Step 2: Convert to fraction form
    17,991.21/24,829.65 = 13,446/x
  3. Step 3: Cross multiply
    17,991.21x = 24,829.65 × 13,446
  4. Step 4: Simplify right side
    17,991.21x = 333,859,473.90
  5. Step 5: Solve for x
    x = 333,859,473.90/17,991.21
  6. Step 6: Final answer
    x = 18,556.81

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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.