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Finding the Fourth Proportional to 16,170, 22,320.36 and 9,546

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Solution

The fourth proportional to 16,170, 22,320.36 and 9,546 is: 13,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170 : 22,320.36 = 9,546 : x
  2. Step 2: Convert to fraction form
    16,170/22,320.36 = 9,546/x
  3. Step 3: Cross multiply
    16,170x = 22,320.36 × 9,546
  4. Step 4: Simplify right side
    16,170x = 213,070,156.56
  5. Step 5: Solve for x
    x = 213,070,156.56/16,170
  6. Step 6: Final answer
    x = 13,176.88

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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.