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Finding the Fourth Proportional to 7,662.28, 11,487.60 and 3,962.16

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Solution

The fourth proportional to 7,662.28, 11,487.60 and 3,962.16 is: 5,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.28 : 11,487.60 = 3,962.16 : x
  2. Step 2: Convert to fraction form
    7,662.28/11,487.60 = 3,962.16/x
  3. Step 3: Cross multiply
    7,662.28x = 11,487.60 × 3,962.16
  4. Step 4: Simplify right side
    7,662.28x = 45,515,709.22
  5. Step 5: Solve for x
    x = 45,515,709.22/7,662.28
  6. Step 6: Final answer
    x = 5,940.23

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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.