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Finding the Fourth Proportional to 8,000.64, 11,992.32 and 7,136.64

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Solution

The fourth proportional to 8,000.64, 11,992.32 and 7,136.64 is: 10,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.64 : 11,992.32 = 7,136.64 : x
  2. Step 2: Convert to fraction form
    8,000.64/11,992.32 = 7,136.64/x
  3. Step 3: Cross multiply
    8,000.64x = 11,992.32 × 7,136.64
  4. Step 4: Simplify right side
    8,000.64x = 85,584,870.60
  5. Step 5: Solve for x
    x = 85,584,870.60/8,000.64
  6. Step 6: Final answer
    x = 10,697.25

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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.