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Finding the Fourth Proportional to 8,004.00, 11,989.92 and 3,989.30

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Solution

The fourth proportional to 8,004.00, 11,989.92 and 3,989.30 is: 5,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.00 : 11,989.92 = 3,989.30 : x
  2. Step 2: Convert to fraction form
    8,004.00/11,989.92 = 3,989.30/x
  3. Step 3: Cross multiply
    8,004.00x = 11,989.92 × 3,989.30
  4. Step 4: Simplify right side
    8,004.00x = 47,831,342.87
  5. Step 5: Solve for x
    x = 47,831,342.87/8,004.00
  6. Step 6: Final answer
    x = 5,975.93

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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.