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Finding the Fourth Proportional to 11,959.81, 17,914.08 and 9,728.05

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Solution

The fourth proportional to 11,959.81, 17,914.08 and 9,728.05 is: 14,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.81 : 17,914.08 = 9,728.05 : x
  2. Step 2: Convert to fraction form
    11,959.81/17,914.08 = 9,728.05/x
  3. Step 3: Cross multiply
    11,959.81x = 17,914.08 × 9,728.05
  4. Step 4: Simplify right side
    11,959.81x = 174,269,057.64
  5. Step 5: Solve for x
    x = 174,269,057.64/11,959.81
  6. Step 6: Final answer
    x = 14,571.22

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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.