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Finding the Fourth Proportional to 30,243, 41,735.34 and 16,995

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Solution

The fourth proportional to 30,243, 41,735.34 and 16,995 is: 23,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243 : 41,735.34 = 16,995 : x
  2. Step 2: Convert to fraction form
    30,243/41,735.34 = 16,995/x
  3. Step 3: Cross multiply
    30,243x = 41,735.34 × 16,995
  4. Step 4: Simplify right side
    30,243x = 709,292,103.30
  5. Step 5: Solve for x
    x = 709,292,103.30/30,243
  6. Step 6: Final answer
    x = 23,453.10

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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.