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Finding the Fourth Proportional to 9,189.36, 13,784.00 and 7,344.09

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Solution

The fourth proportional to 9,189.36, 13,784.00 and 7,344.09 is: 11,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.36 : 13,784.00 = 7,344.09 : x
  2. Step 2: Convert to fraction form
    9,189.36/13,784.00 = 7,344.09/x
  3. Step 3: Cross multiply
    9,189.36x = 13,784.00 × 7,344.09
  4. Step 4: Simplify right side
    9,189.36x = 101,230,899.84
  5. Step 5: Solve for x
    x = 101,230,899.84/9,189.36
  6. Step 6: Final answer
    x = 11,016.10

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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.