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Finding the Fourth Proportional to 11,816.40, 17,724.60 and 9,742.80

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Solution

The fourth proportional to 11,816.40, 17,724.60 and 9,742.80 is: 14,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.40 : 17,724.60 = 9,742.80 : x
  2. Step 2: Convert to fraction form
    11,816.40/17,724.60 = 9,742.80/x
  3. Step 3: Cross multiply
    11,816.40x = 17,724.60 × 9,742.80
  4. Step 4: Simplify right side
    11,816.40x = 172,687,232.88
  5. Step 5: Solve for x
    x = 172,687,232.88/11,816.40
  6. Step 6: Final answer
    x = 14,614.20

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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.