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Finding the Fourth Proportional to 8,004.80, 11,992.80 and 6,852.80

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Solution

The fourth proportional to 8,004.80, 11,992.80 and 6,852.80 is: 10,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.80 : 11,992.80 = 6,852.80 : x
  2. Step 2: Convert to fraction form
    8,004.80/11,992.80 = 6,852.80/x
  3. Step 3: Cross multiply
    8,004.80x = 11,992.80 × 6,852.80
  4. Step 4: Simplify right side
    8,004.80x = 82,184,259.84
  5. Step 5: Solve for x
    x = 82,184,259.84/8,004.80
  6. Step 6: Final answer
    x = 10,266.87

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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.