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Finding the Fourth Proportional to 11,017, 16,538.46 and 9,189.64

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Solution

The fourth proportional to 11,017, 16,538.46 and 9,189.64 is: 13,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017 : 16,538.46 = 9,189.64 : x
  2. Step 2: Convert to fraction form
    11,017/16,538.46 = 9,189.64/x
  3. Step 3: Cross multiply
    11,017x = 16,538.46 × 9,189.64
  4. Step 4: Simplify right side
    11,017x = 151,982,493.55
  5. Step 5: Solve for x
    x = 151,982,493.55/11,017
  6. Step 6: Final answer
    x = 13,795.27

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1.5x scale

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.