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Finding the Fourth Proportional to 19,969, 29,936.58 and 13,375

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Solution

The fourth proportional to 19,969, 29,936.58 and 13,375 is: 20,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969 : 29,936.58 = 13,375 : x
  2. Step 2: Convert to fraction form
    19,969/29,936.58 = 13,375/x
  3. Step 3: Cross multiply
    19,969x = 29,936.58 × 13,375
  4. Step 4: Simplify right side
    19,969x = 400,401,757.50
  5. Step 5: Solve for x
    x = 400,401,757.50/19,969
  6. Step 6: Final answer
    x = 20,051.17

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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.