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Finding the Fourth Proportional to 16,721, 23,075.10 and 9,269

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Solution

The fourth proportional to 16,721, 23,075.10 and 9,269 is: 12,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,721 : 23,075.10 = 9,269 : x
  2. Step 2: Convert to fraction form
    16,721/23,075.10 = 9,269/x
  3. Step 3: Cross multiply
    16,721x = 23,075.10 × 9,269
  4. Step 4: Simplify right side
    16,721x = 213,883,101.90
  5. Step 5: Solve for x
    x = 213,883,101.90/16,721
  6. Step 6: Final answer
    x = 12,791.29

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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.