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Finding the Fourth Proportional to 11,969.72, 17,938.74 and 9,185.75

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Solution

The fourth proportional to 11,969.72, 17,938.74 and 9,185.75 is: 13,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.72 : 17,938.74 = 9,185.75 : x
  2. Step 2: Convert to fraction form
    11,969.72/17,938.74 = 9,185.75/x
  3. Step 3: Cross multiply
    11,969.72x = 17,938.74 × 9,185.75
  4. Step 4: Simplify right side
    11,969.72x = 164,780,780.96
  5. Step 5: Solve for x
    x = 164,780,780.96/11,969.72
  6. Step 6: Final answer
    x = 13,766.47

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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.